New Jersey Lottery: How To Play And Win Mathematically


“Anything can happen in Jersey”, is what you’d read on the website of New Jersey Lottery.
When it comes to playing lottery games, many instances of losing are likely to happen.
For positive things to happen, you must know how to play and win mathematically.
However, ensure that the mathematical principle you use is truly appropriate for playing the lotteries.
Thus, allow me to present you the information on a suitable mathematical method for playing the lottery.
Learn how you could play with fewer instances of losing and more ways of winning.
Keep on reading and discover how to have fun while playing lotteries responsibly.

In playing lotteries, always remember that you have many choices. First, there are many lottery games to choose from. New Jersey Lottery, for example, offers Jersey Cash 6, Pick-6, Cash4Life, Powerball, Mega Millions and more.
You also have many choices when it comes to which numbers to group together to form a combination. What you must remember is that your task is to choose the best among these choices.
Conversely, the best choices are not the number that will win in the next draws. The best choices are those that can minimize instances of losing and maximize your chances of winning.
When deciding on the best among your options, mathematics can be of great help. Conversely, there are many methods that lotto players use in creating their combinations. There are methods that involve mathematical principles.
Yet, as I have said in the introduction, the math principle you choose must be the ‘appropriate’ tool you can use in playing lottery games.
So, which are appropriate and which are not? Let me first give you a comparable situation.
Sofia, George and Lana are members of the same organization that would have an upcoming anniversary party. To make sure that all members will have fairly distributed tasks, the leaders prepared a box containing 18 balls of the same size, shape and texture.
The colors of the ball will determine what task a member will perform. Red is for the foods/drinks preparation. Blue is for decorating the venue. Yellow is for games and activities. Violet is for collecting sponsorships for the prizes.
If Sofia, George and Lana do not know the number of balls per color, they can just rely on statistical sampling to determine which task they will get.
Suppose they know there are 5 red balls, 4 blue balls, 5 yellow balls and 4 violet balls. They could easily know their chances for getting the task they like to perform.
This example illustrates when statistics or probability is appropriate for a certain situation.
Statistics will help if there are some things you do not know about a certain situation. Probability works when you have specific information about the critical factors.
So, which between statistics and probability can provide more help to lotto players?
One of the popular methods that lotto players use is the use of hot and cold numbers. In fact, there is a dedicated page on the New Jersey Lottery website that provides players with such numbers.
This method applies the concept of statistics. Looking at the previous draw results of, a player may see which numbers have been drawn more. However, this method only considers a few draws of about 50-100 draws.
You could actually see some hot and cold numbers in the previous 50-100 draws. Yet, this observation will change with an increase in the number of draws. Eventually, the hot and cold numbers will become insignificant.
Thus, statistics is not the most appropriate mathematical concept you could use as a tool for picking lotto numbers.

This computer-generated image shows the randomness of a lottery game. The lottery is random, but deterministic. Since players know the crucial elements of a game, they have a way to know and predict possible events through accurate mathematical calculations.
This image suggests players could use probability calculations in establishing precise conclusions based on the law of large numbers. With this, you can play without too many instances of being wrong.
This law says that with a considerable number of draws, all lottery numbers will converge around a similar frequency (of getting drawn).
Therefore, there will no longer be hot and cold numbers. Instead of statistics, probability calculations are better to use. This is because you know the number field and pick size in every New Jersey Lottery game.
Hence, the suitable mathematical ways of playing the lottery is by applying the probability theory. Yet, do not be content just with probability. Pay attention also to the ratio of success to failure.
The important ratios in lottery games
Odds and probability are interchangeably used in many real-life applications. Yet, one has to be extra mindful of when a scenario refers to odd or probability to prevent confusions and consequences.
Thus, let me show you how odds and probability differ from one another and how they can help in playing lottery games.
Probability measures the likelihood that an event will occur. In lotteries, probability is how likely you will win using the combination on your ticket against all the possible combinations.
In formula,
Therefore, every combination shares an equal probability. In a 5/45 game, for example, there are 1,221,759 possible combinations. Every one of these combinations has the probability of 1 in 1,221,759.
In order to have increased probability of winning, you need to buy more combinations or lines on the playslip. So, many players who consider only the probability might cripple their chances of winning.
Since there is one probability, they do not mind what numbers to put together. This is not a commendable method of playing. After all, probability only generally describes your likelihood of winning against all possible combinations.
Odds, on the other hand, can show you the possibility of winning using specific combinations in a lottery game.
The formula for combination is
You may actually compute for the odds in favor of you winning the lottery. You can use the odds formula to compare the number of ways to win with the number of ways to lose. Hence, odds also refer to the ratio of success to failure.
Incidentally, combinations have varying ratios of success to failure. We’ll discuss these ratios in detail in the next section.
RememberKnowing the ratio of success to failure is crucial in accomplishing your goal to win the lottery jackpot. You must additionally pick the best among these ratios. Lotteries have probability that no one can control and odds that no one can beat. Yet, a player’s smart use of his ability to discern and choose among his options can help him play the lottery better. Using the power to know and to make the correct choice will tell him the best actions to take.
Odds and probability must be used together when creating a strategy for playing the lottery. It is not enough to know you have one chance to win. It is equally crucial to know the combinations’ odds of winning so you can select the most favorable combination.
Again, it involves making the best choices among the possible. Thus, you must know first what your possible options of combinations are.
Keep reading below to discover these combinatorial options in lottery games.
It’s time to use combinatorial groups in your lottery games.
You need to acknowledge that you have many combinatorial options in lottery games. After all, a lottery game might have thousands or millions of possible combinations. 
A 5/45 game has 1,221,759 possible combinations, while a 6/49 game has 13,983,816 possible combinations.
When we say lottery combinations, these are the groups of numbers on the lottery ticket you buy.
In the Jersey Cash 5 of New Jersey Lottery, a playable combination comprises 5 numbers selected from the pool of 1-45. A combination for New Jersey Pick-6 has 6 numbers chosen from 1 to 49.
All balls in a lottery drum have the same size, shape, texture and weight so no number will be preferred over the others. One number holds no significance unless it is grouped with other numbers to make a combination.
Conversely, lottery numbers could be odd or even and low or high.
These combinations differ in composition. This composition refers to how many odd or even and low or high numbers a combination contains. Therefore, combinations may be grouped according to their distinctive composition.
The odd-even and low-high compositions of combinations also give each combinatorial group its unique ratio of success to failure. A lotto player may capitalize on these unequal ratios by choosing the best.
RememberIt makes no difference in your winning probability whether you choose a 3-low-2-high or 5-high combination. Yet, it makes a difference in the ratio of success to failure if you choose 3-low-2-high instead of 5-high. The former offers more ways of winning and fewer ways of losing than the latter.
Let me show you how.
Suppose you want to play Jersey Cash 5. Your perceptive move would be to bet for a combination with 3 odd and 2 even numbers.
Such a combination can give you 33 opportunities to match the winning combination out of 100 draws. You would be smart to avoid an all even combination because you have only 2 opportunities in 100 draws.
In the same manner, also consider whether your numbers have the right quantity of low and high numbers. Odd or even numbers is common knowledge. You could distinguish an odd from an even number, even with your eyes closed.
 Determining low and high numbers in a lottery game requires a bit more effort. Divide the number field into 2. The first half comprises low numbers, while the second half comprises high numbers.
In a 6/49 game like New Jersey Lottery Pick-6, the best combinations are those with the 3 odd and 3 even numbers. You have 4,655, 200 different winning combinations using this pattern. This means you have 35 times more ways to win than using a 6-even pattern.
A note on combinatorial analysisThe numbers on lottery balls are just “symbols” to discern one from the other. It could also be “animals” or “fruits”, or other representation that fits the application. In lotteries, the odd, even, low and high numbers are not the strategy. Instead, they conveniently serve as standards in mathematical calculations.We can group anything in combinatorial mathematics, such as numbers in the lottery. In other cases, we can also group fruits, gadgets, behaviors, countries, and other objects. If you know combinatorial mathematics, you have a way to optimize and make better decisions according to the circumstances.Lotterycodex works, according to this principle. It operates based on “combinatorial and probability theory”. By separating the good, bad, worst and best combinations, you will know what will provide the best ratio of success to failure.
The inequality of odds among combinatorial groups provides you with the important details for working out a mathematical strategy. New Jersey Lottery players who know and take time to know about these combinatorial groups can use this as leverage. They only need to make the most out of their ability by choosing the best.
The basic combinatorial groups in Jersey Cash 5
The New Jersey Lottery introduced Jersey Cash 5 in September 1992. It is a game where you choose 5 numbers from 1 to 45 to create a combination. You can play a game for $1 and take part in the nightly draws.
 You could choose from 1,221,759 possible combinations for your game. With these many options, which would be the most favorable ones?
Let’s see.
The odds and even sets in Jersey Cash 5 are
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44

1. You can create a combination containing all 5 even or odd numbers. The 5-even group gives 26,334 possible combinations while the 5-odd has 33,649 combinations. The 5-odd group has 7,315 more possible combinations than the 5-even group.
Yet, the table above shows that either group offers the lowest estimated occurrences among all the groups in this game.
2. You could also make combinations with 1-odd-4-even or 4-even-1-odd patterns. The 1-odd-4-even combinations have a probability value of 0.1377071910254; so, it may occur 14 times in 100 draws.
The 4-odd-1-even combinations share the probability value of 0.15945043171362 so they could appear 16 times in 100 draws. Either patterns are better than the 5-odd/5-even groups, but they still offer considerably bad ratios.
3. Better than the 5-odd/5-even or 1-odd-4-even/4-odd-1-even is the 2-odd-3-even pattern. It offers 194,810 more ways to win than 4-odd-1-even and 221,375 more ways to win than 1-odd-4-even.
It also offers 12 times more ways to win than 5-odd /5-even. Hence, it is a good choice of pattern to use when making combinations for Jersey Cash 5.
4. Another option to use when creating combinations is the 3-odd-2-even pattern. It offers 409,101 ways to win and 812,658 ways to fail. It also has the highest estimated occurrences of 33 in 100 draws.
Of these 4 possible options, the best and most favorable is 3-odd-2-even. Its offered ratio of success to failure is 1 to 2.
The 2-odd-3-even pattern also offers a similar ratio. Yet, you have 19,481 more ways to win when you choose 3-odd-2-even.
The ratio of success to failure offered by 3-odd-2-even is 2 times better than 4-odd-1-even. It is 3 times better than 1-odd-4-even.
In comparison, 3-odd-2-even has 18 times better ratio than 5-odd and 23 times better ratio than 5-even.
Therefore, a perceptive player will benefit most from the 3-odd-2-even pattern. This is because this pattern will give him the least chances of losing and the most opportunities of winning.
Conversely, you must not forget that your options also include low-high numbers and patterns.
In Jersey Cash 5 from New Jersey Lottery, the number field offers the low and high sets of
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23
High = 24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45
Out of these numbers, the combinations players can create may have the following patterns.
1. The 5-high pattern has 26,334 ways to win and 1,195,425 ways to fail.
2. The 5-low pattern gives 33,649 ways to win and 1,188,110 ways to lose.
3. With 1-low-4-high, you can have 168,245 opportunities to win and 1,053,514 chances to lose.
4. With 4-low-1-high, there are 194,810 ways to win and 1,026,949 ways to lose.
5. The 2-low-3-high pattern gives 389,620 ways to win and 832,139 ways to lose.
6. The 3-low-2-high provides 409,101 winning opportunities and 812,658 instances of failure.
Analyzing these 6 groups, we could categorize them into 4 options. The bad pattern choices are 1-low-4-high and 4-low-1-high. The good option is a 2-low-3-high.
Of these available patterns, you must avoid using combinations containing all 5 low numbers. It could make you lose 382,767 ways more than when you play for 3-low-2-high combinations.
Out of 100 draws, the 3-low-2-high pattern will give you 33 opportunities to match the winning combination. This is 17 times more than the winning opportunities offered by the worst choice of 5-high combinations.
Let us apply this knowledge on some examples.
1. 13-34-37-40-44
The odd-even pattern of this combination is 2-odd-3-even, which we have known to offer a good ratio of success to failure.
Its low-high combinatorial pattern is 1-low-4-high, which provides only a good ratio.
The aim of basic combinatorial analysis is to create combinations with the best possible shot at winning. Thus, this combination needs composition modification to increase your ratio of success to failure.
2. 1-4-17-19-43
We have here a 4-odd-1-even combination. This means you could have 16 opportunities to match the winning combination using this combination. You need 6 attempts to get a chance at matching the winning combination.
It has a 4-low-1-high composition, which is also a bad choice of low-high pattern. Both ratios are bad. Thus, you need to change some numbers in this combination to achieve the best winning odds.
RememberChoosing either a 5-even or a 3-odd-2-even combination does not change your probability to win. Yet, choosing a 3-odd-2-even than a 5-even combination changes your ratio of success to failure in playing lotteries. In Jersey Cash 5, you have 812,658 ways to lose with the 3-odd-2-even and 26,334 ways to lose with 5-odd. This means that 3you have 82,767 fewer ways of losing with 3-odd-2-even than with 5-even.
Through basic combinatorial analysis, you may know how close or how far you could be at winning the jackpot. You could analyze the worth of a particular combination you want to use.
You could change some numbers if you discover it has a poor ratio of success to failure.
Basic combinatorial analysis gives the advantage of choosing the best options and following a game plan based on these choices.
Luckily, you may also apply the same knowledge when playing Pick-6 from New Jersey Lottery.
The basic combinatorial groups in Pick-6
The New Jersey Lottery held the first game of Pick-6 in May 1980. With a number pool of 1-49, a player must choose 6 numbers to make a combination.
One play costs $1 for draws held on Mondays and Thursdays.
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
With these odd and even numbers, you can create and stake on any of the 13,983,816 possible combinations. There are 7 odd-even patterns you can use when making a combination, but which of these patterns should a keen player choose?
1. Using the 6-even pattern, you can make up to 134,596 combinations. This pattern will give you 13,849,220 ways to lose.
2. The 6-odd pattern offers 177,100 ways to win and 13,806,716 ways to lose. You can have 42,504 more opportunities with 6-odd than with 6-even.
Yet, it is still not a smart choice. In fact, both patterns are considerably the worst pattern choices a player can make. 3. 1-odd-5-even provides 1,062,600 possible combinations.
Thus, there will be 12,921,216 other combinations this pattern will not cover.
4. The 5-odd-1-even pattern has 1,275,120 ways to win and 12,708,696 ways to lose. It provides 212,520 more opportunities of winning than the 1-odd-5-even pattern. Still, it is only slightly better than 1-odd-5-even.
Both 1-odd-5-even and 5-odd-1-even offer bad ratios of success to failure. It means you can still make better choices.
5. 2-odd-4-even gives 3,187,800 ways of winning. You could have 1,912,680 more combinations to choose from than when you use the 5-odd-1-even pattern.
6. With 4-odd-2-even, you can have 3,491,400 ways to win and 10,492,416 ways to fail. It is better than 2-odd-4-even by providing 303,600 more ways to win. Yet, these patterns might still not give you the best possible shot at winning.
7. 3-odd-3-even has the ideal balance of odd and even numbers. It can provide 4,655,200 ways to win and 9,328,616 ways to lose. Compared to 4-odd-2-even, this pattern offers 1,163,800 more ways of winning.
The smart decision to make is one that could help a player have more chances of winning for most draws. Thus, the 3-odd-3-even pattern is the best choice to base a combination on.
It can give you 33 opportunities to match the winning combination in 100 draws. This is 32 more winning breaks than the worst choice of 6-even.
Now let us complete the basic combinatorial analysis for Pick-6 by looking at the low-high groups.
The low and high number sets in this New Jersey Lottery game are
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
High = 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49
You may pick 6 numbers from these sets to make a combination following any of the 7 low-high patterns below.
1. The 6-high group has 134,596 possible combinations. You surely have thousands of combinations to choose from, but their pattern might only appear once in 100 draws.
2. If you choose 6-low instead of 6-high, you may lower your chances of failing by 42,504. Still, it is not a worthy pattern to use and spend money on.
3. You may have 7 more winning opportunities in 100 draws when you play for a 1-low-5-high combination. You can also have 885,500 fewer ways of losing with this pattern compared to 6-low. Still, this is a bad pattern to choose among the 7 options.
4. The 5-low-1-high group is better than 1-low-5-high. It can reduce your possible failures by 212,520. Nevertheless, do not stop your search for the best option here.
5. You may have 1,912,680 lesser ways of losing when you choose the 2-low-4-high pattern. Yet with 23 estimated occurrences in 100 draws, you can still play better by choosing a better pattern.
6. 4-low-2-high is a better pattern than 2-low-4-high. It can reduce your ways of failing by 303,600. It can also have 2 more probable appearances in 100 draws than 2-low-4-high.
7. The remaining pattern, 3-low-3-high, has the highest possible occurrences in 100 draws. It can give you 8 more occurrences than 4-low-2-high.
Of these 7 low-high groups, the pattern providing the most favorable ratio is 3-low-3-high. Its balanced composition can give you the fewest changes of failure and the maximum shots at winning. 
The ratio of success to failure a 3-low-3-high pattern offers is 1 to 2. This means that 3 attempts can give 1 opportunity to match the winning combination. This could mean playing for about 2 weeks for draws held twice a week.
Considering the number of possible combinations, the worst choice is 6-high with a ratio of 1 to 103. Thus, it would require 104 attempts for 52 weeks before you can get that opportunity to win.
Can you now see why you should carefully create your combinations and make sure they follow the best pattern? Let us use this knowledge in some examples.
1. 3-9-15-25-36-46
This combination follows the 4-odd-2-even pattern, which has the ratio of 1 to 3. Your 4 attempts could give you 1 chance at matching the winning combination.
The combination also has the 4-low-2-high pattern. This means it also has a good low-high ratio to offer.
Knowing that the best ratio of success to failure comes from a different combinatorial pattern, use this information to change your numbers.
2. 8-12-28-30-42-46
Now, this combination has 6 even numbers. This pattern may only provide you with 1 possible opportunity to win every 100 draws.
It contains 2 low and 4 high numbers. Again, the low-high ratio from this pattern is only good enough.
Through the information you can gather from basic combinatorial analysis, you can discern what your next move should be. The combination you had in mind could have the worst, bad or good ratio.
Thus, you may change some numbers before buying tickets.
This means you can play responsibly by making sure you spend money on worthwhile combinations. This strategy is better than others relying on blind luck or false beliefs on lucky numbers.
It is always great to know that you have the best options in most lottery games, including Cash4Life. Thus, if you take an interest in knowing the mathematical way of playing this game, continue reading with a passion below.
Cash4Life and its basic combinatorial groups
It was June 13, 2014 when New Jersey Lottery and New York Lottery launched Cash4Life. It is the first “for life” draw game that offers $1,000/day for life as the jackpot prize. This game has nightly draws you can take part in for $2/play.
To play this game, choose 5 numbers from 1 to 60 and one Cash Ball from 1 to 4. If you could match all 6 numbers, you win the jackpot.
It is definitely great to win the jackpot. Yet, I know you would agree with me that winning the second prize is equally a life-changing experience.
Cash4Life involves an extra ball drawn from a separate drum. This makes the jackpot more difficult to win with an increased number of possible combinations.
Yet, if the second prize of $ 1,000/week for life can satisfy you, use basic combinatorial analysis for Cash4Life.
Let us start with the odd-even analysis.
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60
Out of these odd and even numbers, the possible 5-number combinations you can create are 5,461,512.
Each of these combinations could offer a unique ratio of success to failure. This is because of their varying odd-even compositions.
As a 5/60 game, there are 6 odd-even …

Virginia Lottery And The Math-Based Strategy To Win


Last updated on January 2, 2021
You spend $1-2 a day for a Virginia Lottery ticket using your favorite numbers.
It’s still worth it since I can donate to the Commonwealth’s K-12 public schools.
You tell this to yourself each time you lose.
Nothing seems wrong except to realize it’s time to stop because the desperation from losing is not worth your charitable justification.
You are better off stopping than developing an unpleasant habit of trying to recover huge losses.
However, let me first show a better way of playing the game before finally saying, “I’m done buying lottery tickets.”
I cannot tell exactly when you will win, but I can explain how you could play your game with the best shot possible.
Learn to use a mathematical strategy for winning the lottery.
Are there tools you can use to win in the Virginia lottery?
There are, but definitely, statistics is not one of those tools.
Let me explain.
Every Virginia Lottery draw game has a specific web page where you can see its rules, prizes, and past numbers. Click on “Past Numbers” to sight previous winning numbers.
Crunch the Numbers. This option caught my attention.
This option lets users see the statistics for each ball in the game. For example, there are 41 balls in Cash 5, and the “Crunch the Numbers” button will give the statistics for each of these balls.
You will know the number of times they have drawn each ball over several draws. Therefore, this option serves a good purpose for players who rely on lotto game statistics to determine hot and cold numbers.
Statistics is a method that many lotto players have long been using to select the numbers they will mark on their play slips. The question, however, is if this method really works.
Interestingly, the number-crunching option also provides an important disclaimer. “Remember that every draw is random and that each number has the same chance as any other of being selected,” it says. 
This reminder agrees with the basis of our discussion. The image above is a visual representation of the lottery’s randomness.
Statistics may actually show the frequently and infrequently appearing numbers in 100 previous draws. This observation will change with a significant number of draws. The dots will change from white to gray to dark gray and then red, as you can see in this article.
Each of these lotto numbers will converge around the same frequency with plentitude draws. This proves the law of large numbers. Therefore, there are no hot and cold numbers.
Statistical analysis will never work in any Virginia lottery game. This is a fact that many players still refuse to believe.
What will work in the lottery then?
Consider this.
In front of you is a leather bag.
This bag contains 10 marbles.
The marbles come in red, yellow and blue.
You can use statistics and the sampling method to determine the exact number of marbles in each color.
In contrast, statistical sampling is not an applicable tool for games like the lottery. Remember that in a lotto game, you definitely know how many balls there are. In Cash 5, Bank a Million, and Cash4Life of the Virginia State Lottery, players also know how many numbers they can pick.
The lottery is random, yet, the lottery’s randomness and finite structure are what players may take advantage of if they want to one day win.
The lottery is like a battle, competition, or match. You must create a fighting strategy that considers every move or attack, so you will know which ones will work best on your opponent.
In a lottery, your possible attacks are the possible combinations you can create out of your number choices. Your fighting strategy is applying combinatorics and probability theory to pick the combination with the best odds of winning.
Remember this; we don’t use statistics in a finite game like the lottery; the right tools to use are combinatorial math and probability theory.
Ratio matters
There are two primary mathematical concepts to learn and embrace to play the lottery with confidence rather than to play with your fingers crossed. These are probability and odds.
It is crucial to keep in mind that odds and probability are two different mathematical terms. Each has a different meaning in the lottery.
If you recall, back in school days, your math teacher discussed these topics as a pair. I believe this is because people ought to apply them together in many real-life situations like the lottery.
Probability numerically describes the likelihood that an event will occur. Odds numerically describe the ratio of success to failure, which means the number of ways an event occurs against the number of ways it will not occur.
In lotteries, the formula for probability is
For example, the Cash 5 game of Virginia Lottery has a total combination of 749,398. The probability that you will win in this game is 1 in 749,398.
The same is true, with Bank a Million. There are 3,838,380 combinations here, so the probability of winning is 1 in 3,838,380.
In the Cash4Life game, the total combinations without the Cash Ball are 5,461,512, so the probability a player will win is 1 in 5,461,512.
No matter the game and no matter what combination you play for, this probability does not change. Unfortunately, many players rely on pure luck to help them get over this probability fact.
For them, it does not matter whether they play with a strategy since the outcome will either be a win or a loss for them. This mindset will only make you lose money unnecessarily.
It is good to have a strong will not to chase your losses and avoid developing a compulsion. Otherwise, plan your games well so you can spend money well. This is where you must develop a mathematical strategy based on the ratio of success to failure or what we call odds.
To compute for odds in a Virginia lottery game, the formula below applies:
Considering just the possibility of winning and not thinking about the odds can waste your chances.
In Cash 5, you can use the combination 1-2-3-4-5. For Bank a Million, a player may use a combination like 4-8-12-16-20-24. You may also mark the numbers 8, 14, 22, 28, and 32 on a Cash4Life ticket.
Your number selection could be all odd or even numbers or a mix of odd and even numbers.
Referring to the table above, the 1-2-3-4-5 combination for Cash 5 contains 3-odd and 2-even numbers. Since there are 749,398 combinations for this game, this combination offers the odds of 252,700 ways to win over 496,698 ways to lose. Thus, odds refer to the ratio of success to failure.
Let us see how the player’s 4-8-12-16-20-24 will fare in the Bank a Million game. From the table above, this combination belongs to the 0-odd-6-even group, which only gives 38,760 ways of winning, but 3,799,620 ways of failing. Thus, it is one of the worst choices of combination to play.
What can you learn from these examples? That you do not necessarily have to think you have only one way to win, and there is no way to get around it. Realize that you have a choice. You can always make a better choice. Choose the combinations with the most favorable ratio of success to failure. This is better than arbitrarily picking numbers because there are only 2 probable outcomes.
RememberTo achieve the goal of winning in the lottery, know the ratio of success to failure.  No one can control the underlying probability of lotteries. None can beat the lottery’s odds. Yet, a perceptive lotto player will use his power to know and make the right choice. He may even choose not to play if he perceives it to be the best action.
To make the most out of your lotto entertainment money, you need to pay for tickets with carefully selected combinations of numbers. This applies to Cash4Life and other lotto games too.
Careful selection means minding whether the number you mark on the ticket is an odd or an even number. After all, your combination’s odd-even composition will determine how many opportunities you could have over many draws.
Our example above for Cash4Life, 8, 14, 22, 28, and 32 are all even numbers. Based on the table above, a 5-even combination is the most terrible number selection because this could match the winning combination out of 38 play attempts.
Without considering the ratio of success to failure before choosing the numbers, you will have more chances of betting on the wrong combinations. Through a mathematical strategy, there will be fewer times you will choose the wrong combinations.
You will have more times to play with combinations that have more opportunities to match the winning combination. If you are a smart player, would you waste this opportunity? No.
Thus, learning more about combinatorics and probability will be a clever decision.
Introducing, the combinatorial groups in Virginia Lottery games
The finite structure of a lottery comes from the pick size and number field of each game.
The Virginia Lottery reminds us that every number has an equal opportunity in the draws. This is because each ball in the drum shares the same texture, weight, and size as the other balls.
No biases favor one ball (or some balls) over the others. Yet, with only one ball or number, you cannot play the lottery. You must complete the required pick size to play for a combination.
In Cash 5, the number field is 1-41, while the pick size is 5. Therefore, you must have the best combination of 5 numbers from the options of 1 to 41.
Bank a Million has 1 to 40 balls from which you must create a 6-number combination.
The number field in Cash4Life is 1 to 60. Its pick size is 5, so play for a combination containing 5 numbers.
A player must know this basic information about numbers and combinations because this will help him appreciate using a combinatorial group in playing the lottery with the best shot at the jackpot.
Remember that a combination contains numbers. In a lottery game, a number could be odd or even and low or high. The quantity of odd-even, low-high numbers will determine a combination’s composition.
Composition gives a combination with its distinctive characteristic that corresponds to its ratio of success to failure. This should be the focus of your strategy for Virginia Lottery games.
This composition will then put each lotto game’s combination according to its group. The previous images above showed some of these combinatorial groups (you will see more of these groups below).
RememberThere is only one probability of winning regardless if you play with a 3-low-2-high or a 5-low combination. The ratio of success to failure can tell you which between the two offers more ways of winning. You will not choose the 5-low combination because it has more ways of losing than the 3-low-2-high combination.
Knowing how to pick the best composition will allow you to avoid selecting the worst combinations. Otherwise, you will wait too long to match the winning combination.
For example, in the Virginia Lottery Cash 5 game, the best choice of combination is one with 3 low and 2 high numbers. Thus, will you mark all 5 low numbers on the lotto ticket, knowing you may have just one chance at matching the winning combination out of the 37 games you play?
An excellent decision to make when playing Bank a Million is to select 3 low and 3 high numbers. This is because it gives about 34 times more ways of winning than all 6 low numbers.
Without this knowledge, you will probably continue playing using combinations other than the 3-low-3-high pattern. Money flushes down the drain with this way of playing.
Will you be okay with this possibility of wasting more money? The decision is yours, so make the most out of it.
It is just fortunate that the lottery is random, and its structure is finite. This enables well-read players to plan their games with precise strategy using combinatorics and probability.
Are you now ready to know more about the combinatorial groups in these three Virginia Lottery games? Then keep reading.
Which combinatorial groups in Cash 5 give the best shot?
The Cash 5 is a Virginia-only jackpot game where you could win at least $100,000. Pay $1 for each play. In one playslip, you could pay up to 6 plays. Pay an additional $1 for EZ Match for an instant prize of $500.
As we have discussed earlier, Cash 5 of the Virginia Lottery is a 5/41 game. Creating a 5-numbers combination out of 1-41 balls will give 749,398 total combinations.
Out of 1 to 41 balls, you can create the Odd/Even Sets:
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40
The combinatorial groups from this game that you have known so far are the 5-even and 3-odd-2-even. The worst choice has 237,196 more ways to make a player lose than the best choice. For every 100 draws, the 5-even pattern might occur just 2 times.
There are other odd-even combinatorial patterns for Cash 5, and each of them also has its particular ratio of success to failure. You might ask, why do I still need to learn about them now that I already know the best choice of pattern to use? The answer is simple. It is because knowledge is power, and you will never know when this information might come in handy.
RememberThere is no difference in terms of probability whether you choose a 5-even or a 3-odd-2-even combination. Yet, it makes a significant difference to choose 3-odd-2-even instead of 5-even because of the former’s higher ratio of success to failure than the latter. In comparison, you have 213,656 ways to lose with the 3-odd-2-even and 318,444 ways to lose with 5-odd.
For example, your favorite grand aunt asks you to buy a Cash 5 ticket for her using her birthday (November 22, 1912) and her favorite number 8. The resulting combination from her request is 7-11-12-19-22.
If you like to know the success ratio to failure for this combination, you must refer to the 5-41 Odd-Even Patterns table above.
7-11-12-19-22 is one of the 252,700 ways to win using the 3-odd-2-even pattern. This is one of the best combinations to play for.
Let’s look at the combinatorial patterns for Virginia Lottery Bank a Million.
The combinatorial groups that will help you Bank a Million
In Bank a Million, there are 40 balls to choose 6 numbers from. Thus, the total possible combinations are 3,838,380. Each ticket costs $2. It is your decision how much wager to pay for and how much you will try to win.
The Odd/Even Sets for Bank a Million are:
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40
From these number sets, the resulting combinatorial patterns are:
Once again, knowledge about these combinatorial groups empowers you in making the smart decision to play lotto better. Playing better could mean spending money only on combinations that offer the best shot of winning the jackpot.
People have different ways of deciding on lottery numbers. Some parents may ask their kids what numbers they can use in the lottery. For instance, one daughter gave 3-19-23-27-35-40 for her father to mark on the playslip.
For years, this dad has been spending money on this combination since it made him win a consolation prize after he matched 4 balls. Do you think this dad’s decision to stick with the combination is worth it?
Using the odd-even analysis, the daughter’s 3-19-23-27-35-40 contains 5 odd and 1 even number. The ratio of success to failure for this pattern is one of the worst.  Out of 3,838,380, this pattern has 3,528,300 ways to lose.
Virginia Lottery holds two draw days for Bank a Million. This dad has been wasting his money if he has been religiously playing twice a week for this combination.
He already realized that he has been losing a significant amount of money, so he changed his combination. From 3-19-23-27-35-40, he decided on his family member’s birthday and age.
The 37-year-old dad was born on April 1st. His 30 years old wife was born on October 12th. His 6 years old daughter was born on September 9th. Thus, his new combination is 1-6-9-12-30-37.
Unknowingly, the father now uses the combinatorial pattern with the best ratio of success to failure in terms of odd-even numbers analysis.
Combinatorial patterns truly make a difference in one’s game. However, I have mentioned above that a number’s characteristic is not just about its odd or even nature. It also matters to know whether a number is from the low or high group in a lotto game. Let us see how the low-high analysis works in Cash4Life.
Playing Virginia Lottery Cash4Life with the best combinatorial groups
A ticket is worth $2. You must select 5 numbers from 1 to 60 and a Cash Ball from 1 to 4. The extra ball changes the odds, but we will only focus on the 5 main numbers. We don’t include the extra ball in a probability study because it’s not practical since the extra ball is drawn from a different drum.
Numbers in a lottery game are not only odd or even. A lotto game’s number field may have two groups of low-high number sets.
Therefore, to have an accurate strategy, you also need to consider if your numbers belong to the low or the high set. In Cash4Life, the Low/High Sets are:
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30
High = 31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60
A retired office worker is trying her luck on the Cash4Life game. After all, the prize is like a handsome pension of $1,000 a day for life (for matching 5 balls and cash ball) or $1,000 a week for life (for matching 5 balls).
She decided she will play for the numbers 10, 34, 48, 50, and 55 that first popped up in her mind while she marked the playslip. Is this combination good to use?
Using the two sets of low and high numbers, the woman’s combination follows a 1-low-4-high pattern. From the Low-High Patterns table for a 5/60 game above, this pattern is considered a bad choice to have.
From the total combination of 5,461,512, there are 4,639,362 ways to lose. There are only 15 times this pattern may occur in 100 draws.
How about with the odd-even analysis? In terms of odd-even analysis, this woman’s combination is also among bad choices. 
Bad choice for odd-even + bad choice for low-high = poor shot
Thus, continuously playing for her combination will only make the retired office worker waste her money.
Let us go back to our examples above for Cash 5 and Bank a Million so you will understand why a complete analysis is important for combinatorial patterns.
In Cash 5, the Low/High Sets are:
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21
High = 22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41
The aunt’s 7-11-12-19-22 is one combination with the best ratio of success to failure. This is in terms of odd and even composition. About the low and high number count, this combination has a 4-low-1-high pattern.
The table above shows that the 4-low-1-high pattern is a bad choice. It is one pattern with an awful ratio of success to failure with 629,698 ways of making a player lose.
Best choice for odd-even + bad choice for low-high = poor shot
Thus, even if it passes the odd-even analysis, it still has a low score in low-high analysis.
We have two combinations in our discussion above on Bank a Million. Let us look at them separately.
First is 3-19-23-27-35-40. It is a bad choice to use in a game in terms of odd-even composition.
In Bank a Million, the Low/High Sets
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
High = 21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40
Therefore, 3-19-23-27-35-40 follows the 2-low-4-high pattern.
From the table above, this pattern is a good choice with 920,550 ways of winning. The best choice is 3-low-3-high, which offers 379,050 more ways to win.
Bad choice for odd-even + good choice for low-high = poor shot
The second combination of the father player, 1-6-9-12-30-37, has a 4-low-2-high pattern. This is like that of a 2-low-4-high pattern, so it is also an excellent combination to play for in the game.
Best choice for odd-even + good choice for high low = fair shot
Below each analysis is a summary of what we have observed from each sample combination. Based on such a summary, you can decide what step to take next as a Virginia Lottery game player.
Will you still play for a combination that has a poor ratio of success to failure? You might end up wasting money.
Will you skip playing altogether? Perhaps this is an excellent decision not to waste money, but not buying a ticket nulls your chance to win the jackpot.
Allow me to reiterate that since you now know you have the power to choose, and then maximize this power by settling on the best choice of combinatorial patterns.
Examine if your number selection has the right composition of odd, even, low and high numbers so you could have the best ratio of success to failure. Focus on the balance of your numbers.
This will not guarantee you will know the exact winning number for the next draw. The lottery’s odds are hard to beat. Still, you can improve your choice based on the ratio. You can place yourself closer to the achievement of your goal.
Making a complete analysis of odd-even and low-high composition is challenging. A moment of distraction can already lead to miscalculation.
Besides, sometimes the odd-even and low-high analyses contradict one another. One example is with the 1-2-3-4-5-6 combination.
Its pattern offers the best ratio in terms of odd-even composition. It offers the worst ratio in terms of low-high composition. Thus, what can you possibly do to ensure you will have a complete and accurate analysis of combinations? Let me tell you about an enhanced combinatorial analysis using a tool made for Virginia lottery players.
No contradictions with enhanced combinatorial analysis
It can surely lead to a disaster if you fail to perform a complete and balanced analysis on the odd-even, low, and high composition of a combination.
For those with mathematical inclination, putting together the separate analyses is not a problem. Yet, just thinking about one mathematical analysis is already stressful for many people, let alone two.
For that reason, you need to find a solution that will complete analyzing combinatorial patterns, both odd-even and low-high. This is the solution that Lotterycodex offers to every lotto player, especially those uninterested in computations and analysis.
So let’s see how the advanced combinatorial analysis of Lotterycodex can help you with your lotto games.
Let’s start with Cash 5.
The table above shows how the calculator regroups the odd, even, low and high sets.
Using our 7-11-12-19-22 example above for this game, let us see how the Lotterycodex combinatorial design can make things easier.
Most of the numbers are low-odd, so right off the bat, you know while doing no basic computation or analysis that this is a combination that might not fare well in the draws. Doing the analysis manually may take you a while before you notice there is no balance in the number selection.
Thus, the calculator will save you time for making a crucial examination of your number selection. You immediately know that there is a need to change your numbers to have the best shot at the jackpot.
The Cash 5 game of the Virginia Lottery has 56 advanced combinatorial patterns, but only pattern #1 is the best one to incorporate in your game plan.
If you like to play a different game, you can also use the Lotterycodex patterns for Bank a Million.
The father’s first combination is 3-19-23-27-35-40
The calculator can immediately tell this is not a good combination to use. It enforces balance and can detect from the number input that the selection …

Florida Lottery – Winning Strategy According To Math


Last updated on January 16, 2021
Have you already seen the Player’s Guide website from Florida Lottery?
It’s a good website to see, I tell you.
Intending to promote responsible gaming, it has lots of information for ensuring accountability when playing.
But you know what really caught my attention among the tips and guidelines it contains?
It’s the exclusive section to “know the odds before you play them.”
Many players focus on the past winning numbers to pick their combinations.
Thus, they ignore this crucial aspect of playing based on the odds. They waste the opportunity to use a is a far more effective strategy because of its mathematical basis.
In this post, let me show you more insightful details on how to win the lottery mathematically. It is possible, even if you lack interest in math.
Sit back and enjoy reading.
Win in the Florida lotto using appropriate methods
The official website of the Florida Lottery itself is also an awesome website to visit.  It likewise contains a lot of information that is crucial for our discussion here.
Do you want to know what games you can play and how to play them?  Your destination is the Play menu.
Have you got non-winning tickets? Don’t throw them away just yet because Florida Lotto offers Second Chance promotions.
Do you keenly use statistics to determine which numbers to select in the playslip? Check out ‘Reports’ in the About Us menu. Look for the Numbers Frequency chart, and you will probably have a different perception of the use of statistics.
In lottery games, however, this method is not applicable. Let me show you the reason below.
The image above shows Fantasy 5 balls’ number frequency for 7107 draws since July 16, 2001. They reflect the data from this report. It looks like each of the balls in Fantasy 5 appeared to have an equal slice of the pie.
This cancels the notion that there are hot and cold numbers in lotto games. With substantial draws, every number will be drawn in about the same number of times. Therefore, the statistical method for lotto number selection will be ineffective. Statistical analysis will never work in any lottery game.
What will work in the Florida Lottery lotto games, then?
The answer is probability theory.
There is no need for statistical sampling in lottery games since you know how many balls there are and how many balls you must select for a particular game.
This allows you to determine your probability of winning. For example, the Fantasy 5 game has 36 balls, and you need to choose 5 to create a playable combination.  Each unique 5-number combination has one probability of winning.
This is the same for other games like Florida Lotto and Cash4Life. There is one probability of winning for a 6-number combination in Florida Lotto. There is also one probability of winning the 5-number combination in Cash4Life.
This probability fact might discourage you from playing, but do not forget that lottery is completely random. Its structure is finite.
This image above shows the randomness of the lottery, which applies to Florida Lottery games. Although the lottery is random, it is deterministic. All events have a cause and are predictable via a mathematical strategy. Thus, the image denotes that players can use new ideas so they will not be mathematically wrong.
It is the truly random nature of the lottery that players must be thankful for. This randomness enables probability calculations leading to accurate and precise conclusions according to the law of large numbers.  
Be sure to see and read this visual analysis of the lottery for more information on this law.
These are the lottery attributes every knowledgeable player may take advantage of to win the Lottery. Keep reading below to discover the knowledge and methods that will help you gain the advantage.
What could happen when you ignore the ratio?
You know now that probability will work as a method of playing the lottery, rather than statistics.
Probability expresses mathematically how likely an event will happen. There is only one chance that a combination will match the winning numbers in the game draw. Thus, there is one probability of winning for each combination in the lottery game.
In formula,
In Fantasy 5, there are 376,992 combinations resulting from creating a 5-number combination out of 1-36 balls. Thus, the probability of winning here is one in 376,992.
For Florida Lotto, there are 22,957,480 6-number combinations. The probability of winning here is one in 22,957,480.
However, the measurement of probability doesn’t provide a complete picture. To play the lotto games with a strategy, you need to learn and appreciate the odds.
Odds, as shown by the formula, allow you to view and compare the number of ways you could win with the number of ways you could lose. You do not just accept the fact you can only have one chance to win.
Instead, odds make you careful in marking numbers on the playslip. Odds make you more conscious about your combination’s number of ways to win over the number of ways to lose. Thus, you can call odds more appropriately as the ratio of success to failure.

In math classes, is it not that teachers discuss these two concepts in one session (or at least one after the other)? Take your math lessons back in the days as a hint for applying probability and odds together in real-life situations.
You must consider both concepts when playing the lottery so as not to weaken your success. For some players, it does not make any difference what combination to play since there will always be one chance of winning.
Yet, there is a meaningful difference when you precisely select the numbers that make up your playable combination. What could happen if you ignore this ratio?
Let’s see.
Without consideration for the ratio, you choose any number with no strategy. You may end up marking 4, 6, 18, 20, and 36 on the play slip. Unfortunately, this is the worst choice of pattern in Fantasy 5. It has 116,280 more ways to lose than the best choice of 3-odd-2-even.
This image above applies to Florida Lotto games. When you do not know how important the ratio of success to failure is, you would likely choose any number with no plan.
You might play for 8-16-20-30-32-34 in this Florida Lottery game and unknowingly waste money. After all, this pattern has only one opportunity to match the winning combination in 100 draws. Meanwhile, the best pattern choice of 3-odd-3-even has 33 opportunities for the same number of draws.
In lotteries, apply probability and odds together. Considering only probability, you pay no attention to which numbers to play. Considering the ratio of success to failure, you become mindful of whether you have enough odd and even numbers in your combination. This allows spending money on tickets with strategically selected numbers.
Without consideration for this ratio, you will ultimately lose more money. With a strategy that involves this ratio, you have more chances of being right and fewer chances of being wrong.
The table showing the ratio of success to failure for a 5/60 game may also apply to Cash4Life. You slightly overheard a couple of players waiting in line to buy tickets about odd and even numbers selection. So you tried it also with 3-8-17-21-22.
While you have no complete understanding of the balance of odd and even numbers, you have a better strategy if you pick correctly. If you ever mark the 3 odd and 2 even numbers on your playslip, this gives you 32 opportunities for matching the drawn combination for every 100 draws. 
Don’t you think this is better than randomly picking numbers with no regard if they are odd or even? I do not suggest that you adopt a game strategy based on loud conversations or rumors.
Knowledge is power. When you hear about the ratio of success to failure, learn more about it. Please find out how it works and how to do it. After all, there could be more to just selecting odd and even numbers.
RememberThe goal when playing the lottery is to win. To accomplish this, learn what the ratio of success to the failure of combinations is. This ratio will help you make the right decision. This ratio allows you to exercise your power to choose despite the uncontrollable probability and odds of lotteries.
Would you waste the opportunity to be closer to winning the jackpot? I know you don’t want to, so discover more below.
Combinatorial groups could be the root of your success
So far, you have known that you ought to be careful when picking numbers to complete your playable combination. Yet, how do you exactly accomplish this careful selection?
There are at least 4 keywords that a lotto player must understand before playing in a lotto game. These are pick size, number field, number, and combination.
Pick size refers to how many numbers you must pick to play. Number field refers to the number of balls in the game.
A number is one ball in a lotto game. The combination is the group of numbers you have selected.
In Fantasy 5, the pick size is 5; the number field is 36. The numbers here are 1 to 36, and the combination comprises the 5 numbers you should select.
In a Florida Lottery game, every number or ball has an equal chance of getting picked. After all, every ball has the same shape, size, texture, and weight. No biases are favoring one ball over the other.
It is when you put the numbers together that creates inequality among combinations. This is because of the unique composition of every combination. The unique composition comes from the odd, even, low or high numbers that a combination contains.
This is when you will see that not all combinations are created equal. It is this inequality that will allow you to exercise your power to choose the best ratio.
You should also realize that the balls included in a lottery game’s number field do not just fall within the odd or even category. These numbers may also be low or high.
When we talk about combinatorial groups, we also need to tackle these low and high number sets.
In Fantasy 5, there are:
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18
High = 19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36
It would be best if you create a combination with a balance of odd and even numbers. Yet, also consider if these numbers are low or high.
Consider the classic example of 1-2-3-4-5. In terms of the odd-even analysis, this combination is considered one of the best choices. Looking at the low/high number sets above will reveal that all these numbers are all from the low set. From our Low-High ratio of success to failure table above for a 5/36 game, this 1-2-3-4-5 actually has a pattern with the worst ratio. Do not forget to consider if the numbers you select are low or high.
RememberThe single probability of winning remains the same, no matter which combinatorial pattern you use. However, combinatorial patterns do not share the same ratio of success to failure. A 3-low-2-high has more ways of winning and fewer ways of losing than a 5-low-0-high. Therefore, a smart decision is to choose a pattern with the best ratio of success to failure.
A lotto player’s task is to pick the numbers that will form his combination. A smart player will accomplish this task by applying a precise strategy.
Combinatorial groups and their unequal ratios of success to failure are effective strategies a smart player could use. These will allow him to choose a combinatorial pattern that offers more ways of winning but fewer ways of failing.
How should a smart Florida Lottery player proceed on using combinatorial patterns when playing a specific game? Let us see more about the inequality among combinatorial groups and determine which is best to use.
Basic combinatorial analysis in Fantasy 5
If you match 2 numbers, you can get your next Fantasy 5 ticket for free. If you get 3 numbers right, you get a prize of about $10.
Getting 4 numbers right will let you win about $107. Yet, if you get all 5 numbers correct, you win the jackpot prize of $200,000 (if you are the solo winner).
While it is exciting to win just the minor prizes, the main goal for playing lottery games like Fantasy 5 is to win the jackpot prize. This emphasizes the need for a strategy and a game plan.
Fantasy 5 is a 5/36 game, just as we have discussed above. For a ticket that costs $1, you may pick 5 numbers from 1 to 36. The game offers an instant cash prize when you pay an additional $1 for an EZMatch option.
The Odd/Even Sets here are
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36
This is the advantage of the lottery having a finite structure. It allows you to determine the possible combinations based on the pick size and the number field. There are 376,992 combinations for this game.
Out of these total combinations, there are 8,568 combinations with 5-odd-0-even and/or 0-odd-5-even patterns.  Meanwhile, there are 124,848 combinations with 3-odd-2-even and/or 2-odd-3-even patterns.
What could you learn from this? Would you choose a pattern that has 16 times fewer occurrences in 100 draws? Definitely not. It is only logical that you will choose one that could make you lose less.
Ava dreamt about being pregnant and giving birth to twins. She was exhilarated about her dream, so she looked up online about what it meant. She read that numbers 5 and 6 represent pregnancy. Number 8 represents giving birth. She is 30 years old, so she decided on the combination 2-5-6-8-30.
Let us see how her numbers will perform based on basic low-high combinatorial groups.
2-5-6-8-30 has a 1-odd-4-even pattern, which has two times less occurrence in 100 draws than the 3-odd-2-even.
Now, let us see its low and high number composition. The 2-5-6-8-30 follows the 4-low-1-high pattern. Such a pattern has 321,912 ways to lose and only 55,080 ways to win. This has about 2 times less occurrence in 100 draws.
As a player with her own right to decide, she may continue to play with this combination. The odd-even and low-high analyses, however, show that 2-5-6-8-30 is not the best choice. She may also change her numbers, such as 6 to 24 and 8 to 35, so her new combination will be 2-5-24-30-35. Her change in numbers leads to a change in the odd-even and low-high combinatorial groups with a better ratio.
RememberThe probability of winning does not change whether you use a 5-even or a 3-odd-2-even combination. Yet, there is a big difference in the ratio of success to failure.
The ratio of success to failure of the new combination also improved for odd-even and low-high combinatorial analyses. It is all up to a player’s decision, your decision on which combinations to play for.
Combinatorics and probability offer the capability to determine the best from the worst and the good from the bad. This enables players to devise a strategy that will make them get the best value for the money they spend.
They need to discover and use this opportunity rather than stick to age-old practices of playing the lottery. To help you appreciate combinatorics and probability more, let us consider the combinatorial groups for Florida Lotto.
Basic combinatorial analysis in Florida Lotto?
Do you play the Florida Lotto and wonder if combinatorial groups also apply?
The jackpot for this flagship draw game of Florida Lottery starts at $1 million (rolls until somebody wins), and each ticket costs $2. Out of the 1 to 53 balls, you must select 6 to create a playable combination. The game also offers add-on features, such as Double Play. For an extra $1, this Double Play option gives you the chance to win cash prizes from an additional drawing.
Even without the add-on features, you could still win minor prizes when you match at least two numbers from the winning combination. 2 Numbers let you win free tickets, 3 numbers will let you get $5. If you match 4 numbers, the base prize is $100. You could receive $6,000 when you match 5 numbers.
These minor prizes surely make the game beguiling to play. This could make you think that you could then play even with no plan or strategy.
This way of thinking could be hazardous to your lottery entertainment budget. It could just lead you to unnecessary and unjustified spending. Remember, you have a way to play the lottery that can bring you closer to winning the jackpot. Thus, remain true to this main goal.
In the Florida Lotto game, the number sets are
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52
There are 22,957,480 total possible combinations for this game. The most helpful decision a lotto player would make is to select 3 odd and 3 even numbers from the 1-53 number field.  This pattern offers 33 times more ways to win than the 0-odd-6-even pattern.
Picking a 4-odd-2-even combination is also good since it has 24 times more ways to win than the worst pattern. While this is better than 0-odd-6-even, would you still choose it even if you know that the 3-odd-3-even is the most helpful pattern?
You read from your daily horoscope that today is your lucky day. Since this daily reading contains no lucky numbers, you decided to use your zodiac sign’s lucky numbers. You are a Gemini, so these lucky numbers include 6, 9, 11, 19, 25, and 35.
Will the combination based on these numbers have a good, bad, best, or worst ratio?
6-9-11-19-25-35 follows a 5-odd-1-even pattern. From the table above, this pattern has 2,098,980 ways of winning and 20,858,500 ways of failing.
In 100 draws, this pattern may occur only about 9 times. Your ways of losing with this pattern are about 2 times more than your ways of losing when you use a 3-odd-3-even pattern. This means that this pattern will not produce a satisfactory result.
Perhaps its ratio is good in the low-high analysis, you might think. Let’s have a look at it, then.
Florida Lotto has the following low and high number sets:
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27
High = 28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53
6-9-11-19-25-35 is a combination with the 5-low-1-high pattern. From the table above, this pattern likewise has a low ratio of success to failure. It can occur only 9 times in 100 draws, which is about 4 times lower than the best pattern’s estimated occurrence.
Again, a superstitious player will stick to the dictates of astrology and horoscope. He will still buy a ticket with this combination.
A clear-sighted player, on the other hand, will come up with a clever decision. He will change his combination to enjoy a better ratio of success to failure.  The player would drop 2 low numbers and change them to 2 high numbers.
He could replace 6 with 33 and 11 with 47. Thus, the new combination is 9-11-19-33-35-47, and it now follows a 3-low-3-high pattern.
Now, the smart player can have 5,506,020 fewer ways of losing. His chances of matching the winning combination increase by 24 in every 100 draws.
The question now is, “are you a superstitious player or a clever player?”
Combinatorial groups let you see your possible options and understand what chances of winning from each option. You can choose whichever pattern of combination you like. Yet, logic dictates that you should settle for the best.
This blog does not aim to force you to believe in anything. Instead, our goal is to present the facts and information to you to decide what sensible actions to take next. Thus, continue to read below and find out more analyses and examples of combinatorial groups.
Basic combinatorial analysis in Cash4Life
The Cash4Life is a regional multi-state draw game offering two lifetime prizes. Thus, you may also read about this game in another post about the Virginia Lottery. A ticket costs $2. A 5/60 game requires picking 5 numbers from balls 1 to 60.
The number sets here include :
Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59
Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60
The total possible combinations here are 5,461,512. You can analyze a 5/60 game’s combinatorial groups from the image above.  
With a 3-odd-2-even or 2-odd-3-even, you have 3,695,412 ways to lose.
A 4-odd-1-even or 1-odd-4-even pattern has 4,639,362 ways to lose.
A 0-odd-5-even or 5-even-0-odd pattern has 5,319,006 ways to lose.
Every 100 draws, the estimated occurrence of a 3-odd-3-even is two times better than 1-odd-4-even; and ten times better than 0-odd-5-even.
Luis has been trying his luck on a 5/60 game for quite some time. His favorite number is 7, so his game plan is to pick numbers with an interval of 7. He often played 7-14-21-28-35-42. Besides, marking this combination on the playslip creates a diagonal line, so it looks rather neat.
Is this combination worth spending money for, or has Luis been wasting his money on it?
7-14-21-28-35 has a pattern of 3-odd-2-even. This is great because this is one of the best choices among the combinatorial groups in a 5/60 game. This pattern offers 1,766,100 ways to win.
Of course, we also need to look at the low-high analysis for his combination.
The low and high number sets are:
Low/High Sets
Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30
High = 31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60
Thus, 7-14-21-28-35 belongs to the 4-low-1-high group.  While this pattern is not the best choice in a 5/60 game, it is considered second to the best because it could still occur 15 times in 100 draws.
This means that Luis has been unknowingly spending his money on a mediocre combination. If only he knows he has been flushing his money down the drain for about 50% of all his attempts, perhaps he could have changed his combination or could have looked for a better strategy.
If Luis had known about combinatorial groups, he could have changed his combination to 7-14-21-35-42. This still has an interval of 7 and remains within the same diagonal line on the playslip. (We don’t suggest this method of selecting numbers, as you will find out later below)
Even so, Luis could have shifted his strategy by choosing a different lotto game to play. There are other games from the Florida Lottery, such as Fantasy 5 and Florida Lotto, which has better odds of winning than Cash4Life. How come, you would ask?
It is because of the extra ball in the lottery. Cash4Life game also involves a Cash ball, which you must choose from 1 to 4. Now, this extra ball makes the game more difficult to win, so it is your personal discretion whether to continue playing such a game.

An extra ball that lotto authorities draw from a drum separate from the main combination’s drum significantly increases the odds against winning. To be exact, a game with an extra ball makes it much more difficult to win the jackpot.
Once again, it will be the player’s capability to choose that will prevail here. As a player, know your options to make a precise analysis of your winning odds. Through this awareness, you could also devise your course of action when playing lotteries. Speaking of odds and actions, you must analyze the odd-even composition of a combination and its low-high composition.  Doing so will help you decide what steps to take next.
Advanced combinatorial design can up your lotto games
From our examples above in Fantasy 5, Ava’s 2-5-6-8-30 is a good choice for odd-even composition and a good choice for low-high composition.
While a good choice for both analyses, remember that a lotto player’s wish is to win the jackpot.
Ava’s game plan still has room for improvement. Thus, the rational method is to change her combination, such as to 2-5-24-30-35.
In Florida Lotto, 6-9-11-19-25-35 is your supposed combination. It is a bad choice for odd-even and also a bad choice for low-high.
This obviously means …