“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 patterns that players may use when making combinations. Yet, you can see from the table below that we can further reduce your options into 3.
1. 5-even offers 142, 506 ways of winning, just like 5-odd. Either of the two has 3 estimated occurrences out of 100 draws. They offer the ratio of 1 to 37. Therefore, they are the worst choices for possibly winning the second prize in Cash4Life.
2. Either 1-odd-4-even or 4-odd-1-even offers 822,150 ways to win. They each provide 679,644 more ways to win than 5-even/5-odd. The ratio they offer is also 6 times better than the ratio offered by 5-even/5-odd.
3. The 2-odd-3-even and 3-odd-2-even each offer 1,766,100 ways to win. They each offer 17 more occurrences in 100 draws.
There are essentially worst, average and best choices of combinatorial patterns in Cash4Life. The middle is 1-odd-4-even or 4-odd-1-even. The worst is 5-odd or 5-even.
If you were to choose a pattern that will give you the best shot at winning, it should be a 3-odd-2-even or 2-odd-3-even. In 100 draws, you may have 32 opportunities in 100 draws at winning $1,000/week for life.
Using the best pattern gives you 29 more winning chances compared to the worst choices of 5-even or 5-odd. In 100 draws, you have 29 fewer instances of losing with 3-odd-2-even/2-odd-3-even than with 5-even/5-odd.
Let us look at the low-high composition of the 5,461,512 combinations in Cash4Life.
You can choose your low high numbers from
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
You are free to use any of these combinations that have any of the following patterns.
1. 5-high has 142,506 winning ways to offer.
2. 5-low also shares the same number of possible combinations with 5-high. They each provide 5,319,006 ways to fail.
3. 1-low-4-high has 822,150 ways to win and 4,639,362 ways to fail.
4. 4-low-1-high is the same as 1-low-4-high. Using either pattern instead of 5-low/5-high can reduce your chances of losing by 679,644.
5. 2-low-3-high gives 1,766,100 ways to win and 3,695,412 ways to fail.
6. 3-low-2-high shares the same ratio of success to failure as 2-low-3-high. With a ratio of 1 to 2, 3 attempts or draws can give you one opportunity to match the winning combination.
The table above summarizes this into a simple reminder to remember whenever creating Cash4Life combinations.
To make every game worthwhile, choose combinations that have 3-low-2-high or 2-low-3-high. Combinations of this pattern will give you 32 opportunities for matching the winning combination in 100 draws.
Meanwhile, if you use 5-low or 5-high combinations, you will get only 2 such opportunities. The best pattern, thus, offers 18 times better ratio of success to failure than the worst pattern.
Let us look at some examples and see how basic combinatorial analysis could help.
1. 20-21-22-42-50
This combination follows the pattern of 1-odd-4-even, which provides a median ratio of success to failure.
With a 3-low-2-high, this is a combination that has the most favorable low-high ratio.
Nonetheless, you should always remember the purpose of analyzing the composition of combinations. You must look at the composition of combinations to determine if they can give the best shot at winning or not.
In this example, with the best low-high ratio and good odd-even ratio, you still cannot achieve the ideal winning break unless you change some numbers.
2. 5-9-11-23-55
This is a combination containing all 5 odd numbers. Based on our discussion earlier, this is one of the worst patterns to follow in making combinations.
Meanwhile, it also has 4 low and 1 high numbers. Our table above shows this is a pattern that provides 15 chances to match the winning combination. The best choice offers 32 winning opportunities.
Therefore, this combination requires some modification so that you may play with the best ratio of success to failure.
Basic combinatorial analysis helps in gathering crucial information that can make you a better player.
Playing a batter game could mean spending money on combinations that will help you have fewer chances of losing. This also involves having the highest possible opportunities of winning.
This mathematical method allows you to see which combinations are best, good, bad and worst. It lays down accurately analyzed information so you can choose which one will benefit you greatly as a lotto player.
For some people, however, this mathematical method of planning the best moves to make is challenging. This is especially true when the ratios oppose or do not agree with one another. It means that you should repeat the process until you achieve the best results.
Does this mean you simply go back to the old ways of playing the lottery? You would surely regret your decision later on.
Once again, remember you have many options as a New Jersey Lottery player. Instead of abandoning the perplexing basic combinatorial analysis, why not consider advanced combinatorial analysis?
Advanced combinatorial analysis solves inconsistencies
You can say that the ideal combinations are those whose odd-even and low-high ratios are in unison. Yet, with thousands or millions of combinations per game, finding these ideal combinations might put you in a pinch.
Thus, what you can do is just analyze the odd-even and low-high ratio of a combination. It would be less of a hassle if the combination you chose has the best ratios.
The tables of patterns above showed that the best choices are only one-third of a game’s total possible combinations.
Therefore, it is highly possible to see many combinations whose ratios contradict one another. Still, the opportunity that combinatorial mathematics offers is difficult to let pass.
Abandoning this method because of the conflicting ratios is not a sound idea since you have a better choice to make. Either you master the skills of basic combinatorial analysis or use advanced combinatorial analysis.
They are just both combinatorial analysis, you might say. Yet, there are justifiable reasons the second option is called “advanced”. Allow me to show you.
This table above shows the Lotterycodex combinatorial design suitable for New Jersey Lottery Jersey Cash 5.
Did you notice that the number sets in this advanced combinatorial design differ from those in basic combinatorial analysis? The keen player will surely notice that advanced combinatorial design has regrouped the odd, even, low and high numbers.
The advanced combinatorial number sets are now low-odd, low-even, high-odd and high-even. You only need to choose the numbers from these sets instead of looking at separate lists of odd, even, low and high numbers.
The regrouping of numbers ensures you do not misplace even one number in an incorrect set. Remember that even an honest mistake of incorrectly considering if a number is odd/even/low/high can lead to a grave miscalculation.
Let us use this Lotterycodex combinatorial design for our examples earlier in Jersey Cash 5.
1. 13-34-37-40-44
Basic combinatorial analysis revealed this combination has good odd-even and low-high ratios.
From the combinatorial design table, you can quickly see this is a lacking combination. Without changing some numbers, you could not proceed.
Once your combination has the required balance in composition, Lottterycodex will analyze all possible combinations so will readily know which ones are best.
2. 1-4-17-19-43
This second combination also has bad ratios, according to basic combinatorial analysis.
The advanced combinatorial design above likewise shows that this is not an acceptable combination.
Right from the start, advanced combinatorial design can already reveal if a combination is of any value.
Thus, it can already prune the worst combinations from the valuable ones. This can save you time, money and effort.
The choice is always yours, whether you will use advanced combinatorial design. Still, would it not be great to use a tool that can relieve you from confusion and contradiction of basic combinatorial analysis?  
The Lotterycodex unique combinatorial design combines the two analyses together, leaving no room for contradictions. Advanced combinatorial analysis also directs you to which patterns and combinations to focus on without computing and analyzing anything.
You can do the computations and analysis on your own, but this requires time and a great amount of effort. With knowledge about the advanced combinatorial patterns, you could easily waste time and money on futile combinations.
Your favorite Jersey Cash 5 combination could have been following pattern #41 from the table above. Unfortunately, this is one of the worst patterns in a 5/45 game.
Therefore, you could have been wasting money and effort on this combination for years. Let me show why.
Pattern #41:
May occur 65 times in 2,000 drawsOffers a ratio of 1 to 222.
This means that the pattern may give you one winning opportunity in every 223 attempts or draws. If you play Jersey Cash 5 daily, do so for more than 7 months to get this break.
This is not a responsible and fun way of playing, would you agree?
Since pattern #41 is one of the worst patterns in a 5-45 game, you might think you can do better with pattern #5, a middle pattern.
Pattern #5:
May occur 9 times in 2,000 drawsOffers a ratio of 1 to 31.
Pattern #5 may offer you with better games since you can have one chance to match the winning combination every one month of daily games/draws.
Still, the aim is to use the best pattern and combination, so do not be satisfied with pattern #5 yet.
In a 5/45 game, there are 56 Lotterycodex patterns. However, only one pattern, pattern #1 is the best.
Pattern #1:
May occur 144 times in 2,000 drawsOffers a ratio of 1 to 14.
Pattern #1 could give you 2 winning opportunities in one month. Its ratio is 2 times better than pattern #5 and 16 times better than pattern #41.
The advantage of knowing the best pattern is you can absolutely avoid the worst and the middle patterns. It is possible that many players have been using any of the middle and worst patterns.
They do not know that their combinations will hardly ever give them a chance at winning.
With the help of advanced combinatorial analysis, you can make a positive impact in your games, including Pick-6 from New Jersey Lottery.
You can also use advanced combinatorial analysis for Pick-6 combinations. If we apply this to our example above, what do you think would be the result?
1. 3-9-15-25-36-46
This first combination has good basic combinatorial ratios to offer, but these are not enough. Thus, some numbers need to be changed.
With the Lotterycodex combinatorial design, you need not perform any analysis. Yet, you will know in an instant that this is not a combination you should even consider spending money on.
2. 8-12-28-30-42-46
The odd-even ratio is the worst, although its low-high ratio is the best. This combination obviously illustrates the contradicting ratios that advanced combinatorial analysis can resolve.
You do not need to write the numbers sets. There is also no need to analyze the odd-even and low-high composition. Just by looking at the numbers from the combinatorial design for a 6/49 game, you know instantly that this is a combination to forget.
When you use advanced combinatorial analysis, all you need to do is enter the numbers you want to use. After a while, you would learn which of the possible combinations from your selected numbers are best to use.
Not all combinations are the same, and this is because they each follow a certain pattern of composition. Each pattern also comes with a unique ratio of success to failure.
The advanced combinatorial analysis will filter out for you the good, bad, best and worst combinations according to their patterns. Just look at the table below.
There are 84 Lotterycodex patterns for a 6/49 game like Pick-6 from New Jersey Lottery. Only 3 are the best patterns here. There are 17 middle patterns and 64 worst patterns.
Imagine if you do not know or have no way of knowing which patterns are worst, middle and best. You will highly likely end up spending money on any of the worst or middle patterns.
As you can see from the table above, the worst and middle patterns (individually or separately) outnumber the best patterns. If this happens, you will just flush your money down the drain and pointlessly waste efforts in playing.
Pattern #1:
May occur 106 times in 2,000 drawsOffers a ratio of 1 to 19.
Playing for combinations with pattern #1 will give you 1 best winning shot out of 20 attempts. This means you may need to play for 10 weeks or 2.5 months. Playing for at least one combination, this game plan would require $20.
More than 2 months of attempts at the jackpot might seem a long and expensive wait for some. Yet, remember that pattern #1 is the best. The middle and worst combinations will take longer or could be more expensive to play.
Pattern #14:
May occur 41 times in 2,000 drawsOffers a ratio of 1 to 48.
A middle pattern like pattern #41 will give you your winning break in about 49 draws or attempts. This could mean spending about $50 and playing for about 6 months. This pattern is $30 more expensive to play and could take 3 months longer to provide a winning opportunity.
Pattern #51:
May occur 9 times in 2,000 drawsOffers a ratio of 1 to 14.
With a worst pattern like pattern #51, the wait could take forever and you need to spend hundreds of dollars. This is not the game any player wants. I see no advantage to gain from playing with this pattern, do you?
Advanced combinatorial analysis is also a great help as you try to win in the Cash4Life game.
Let us use this combinatorial design for a 5/50 game to look at the examples we have on Cash4Life basic combinatorial analysis.
1. 20-21-22-42-50
Basic combinatorial analysis told us that this combination has an average odd-even ratio and best low-high ratio. It is not an ideal combination, so there is a need to change some numbers.
Through the advanced combinatorial design, you can immediately see there is no point in using this combination. You can save time and effort right away.
2. 5-9-11-23-55
With bad odd-even and low-high ratios, this is a combination that certainly requires changing.
You can use basic combinatorial analysis or use the Lotterycodex combinatorial design. Using the latter, you will instantly notice this combination is valueless. It might not even give you a winning opportunity, even if you play for it throughout your lifetime.
Incidentally, many players do not know that they are playing for such worthless combinations. These combinations might have any of the worst or middle advanced combinatorial patterns.
Take pattern #41, for example.
Pattern #41:
May occur 7 times in 2,000 drawsOffers a ratio of 1 to 286.
It would take 287 attempts for this pattern to provide one opportunity to match the winning combination. This could mean taking part in every nightly draw for more than 9 months.
A middle pattern like pattern #17 is also no good in optimizing your games.
Pattern # 17:
May occur 37 times in 2,000 drawsOffers a ratio of 1 to 54.
Requiring 55 attempts before providing one best winning opportunity, a combination with this pattern might require a budget of at least $100. Be ready to spend more or wait for at least 2 months to get an opportunity to match the winning combination.
The best pattern always offers the most favorable way to play.
Pattern # 1:
May occur 130 times in 2,000 drawsOffers a ratio of 1 to 15.
You can get that chance to match the winning combination after 16 attempts or draws. This could mean spending at least $32 and playing regularly for about half a month.
For a detailed discussion on how these advanced combinatorial patterns work, be sure to read my free guide: The Winning Lottery Formula Based on Combinatorics and Probability Theory
Pointing you to the shortest route for reaching a destination is what advanced combinatorial analysis is about. It is not wrong to say that every combination and pattern can provide you with a winning opportunity.
However, using advanced combinatorial analysis, you have an accurate way of knowing which of these combinations will give the best shot at winning. The best shot is one that will not make you wait long and will not waste your money for most draws.
Advanced combinatorial analysis benefits you by helping you become less mathematically wrong in your games. With the data it provides, you can play with the fewest chances of losing and most opportunities of winning.
Of course, this could only happen when you make logical and practical decisions in your New Jersey Lottery game. These decisions include choosing your games well.
Which New Jersey Lottery game is the best?
The best New Jersey Lottery game may differ for every player’s preferences and financial resources.
For some, the best game is one with the biggest jackpot prize. Yet, a game with billions of dollars as a jackpot could be the most inconvenient to play and hardest to win. You will compete with substantially more players than usual, who try their luck to win big.
There are also some players whose best games are those easier to win than the others. For this, you could once again use probability theory in picking the best game to play at New Jersey Lottery.
This table above compares the draw games where you can confidently apply advanced combinatorial analysis. 
Highlighted is Jersey Cash 5. It means this is the game that is easiest to win.
As a 5/45 game, it involves a total combination of 1,221,759. Hence, the probability to win using one combination here is 1 in 1,221,759.
A game with the least pick size, number field, extra balls and possible combinations is the one offering the best winning odds. It is the game whose prizes are easiest to win.
Thus, the comparison between Jersey Cash 5 and Pick-6 easily reveals that the former is a better game to play. The probability to win using one combination in Pick-5 is 1 in 13,983,816. It means Pick-6 prizes are 11 times more difficult to win than Jersey Cash 5 prizes.
Cash4Life has the same pick size as Jersey Cash 5. Yet, it has a bigger number field and it involves 4 extra balls. Therefore, the probability to win per unique combination here is 1 in 21,846,048. This makes winning in Cash4Life 18 times more difficult than in Jersey Cash 5.
Powerball, like Cash4Life, is a multi-state draw game. It is a 5/69 game with 26 extra balls. The probability of winning is 1 in 292,201,338 for each unique combination. This makes Powerball 239 times harder to play and win than Jersey Cash 5.
The extra balls in lottery games make the prizes more difficult to win because of the increase in the total number of combinations. Luckily, however, you can use advanced combinatorial analysis for playing and winning in Powerball games.
Another multi-state game you can play from the New Jersey Lottery is Mega Millions. This is a 5/70 game with 25 extra balls. So, the probability to win here is 1 in 302,575,350 for each unique combination that you use.
This makes Jersey Cash 5 248 times easier to play and win than Mega Millions. Nevertheless, Mega Millions is also a game where you can apply an accurate mathematical game plan based on advanced combinatorial analysis.
Lottery games may differ in pick size, number field, extra balls and possible combinations. However, if you understand how lotteries work, you could gain an advantage as a player.
Keep reading below to fully understand the roles of probability and combinatorics in making your lottery gaming experience better.
Probability and combinatorics have crucial roles in your lottery games
The probability of winning in a New Jersey Lottery game is unchangeable. Its odds are difficult to beat.
These statements sound cliché, but these are hard facts that all lottery players must accept. Nevertheless, many people still spend their money buying tickets as they hope that luck would beat the odds.
Considering what we have discussed on combinatorial mathematics, can you still claim that luck will beat the lottery odds and help you win? There is nothing wrong with believing in luck, but you should also couple it with an accurate and precise method of playing.
Remember, however, that luck is only a supporting character. Probability and combinatorics hold the main roles in your lottery games.
The computer-generated image of lottery’s randomness above suggests there are helpful ways of playing the New Jersey Lottery. Combinatorial mathematics paved the way for you to see what these ways are.
To play with a handicap, know your options, and choose the best from these options.
For instance, you have the options of basic and advanced combinatorial analysis in considering the value of your chosen combinations. Using basic combinatorial analysis helps, but this option is prone to confusing and opposing ratios.
Advanced combinatorial analysis, meanwhile, resolves and eliminates confusions and contradictions.
You decide which of the two mathematical analyses to use. Still, a smart New Jersey Lottery player will settle for the one that gives accurate and precise results.
A player should always choose the most favorable choices. Thus, the analysis and information that Lotterycodex advanced combinatorial design offers will help you accomplish this.
The advanced combinatorial design requires you to simply input your numbers, and it will be the one to do the computations and analyses. All you need to do is use the data it will provide in the most effective way possible.
Lotterycodex involves patterns that will determine if combinations are worthy of your time, effort and money. Let’s see and compare the patterns suitable for a 5/45 game like New Jersey Lottery Jersey Cash 5.
Best pattern:
Expected occurrence (pattern #1)
= 0.0719012506 x 2,000
= about 144 occurrences
Middle pattern:
Expected occurrence (pattern #5)
= 0.0326823866 x 2,000
= about 65 occurrences
Worst pattern:
Expected occurrence (pattern #32)
= 0.0089133782 x 2,000
= about 18 occurrences
Pattern #32 has a ratio of 1 to 111. This could mean spending $112 and playing for about 4 months.
With pattern #5, you have a ratio of 1 to 31. It could mean spending a minimum of $32 and playing for about a month.
The ratio offered by pattern #1 is 1 to 14. You might need to spend at least $15 and play for 15 days to have an opportunity at matching the winning combination.
The best pattern will dominate the game even as the New Jersey Lottery holds more draws for Jersey Cash. This is a demonstration of the law of large numbers, which will remain observable at an infinite number of draws. It will always be the one to have the most expected occurrences and the least approximate interval.
Notice that probability and combinatorics played the crucial roles in showing you which patterns are the best, middle and worst. This is possible not only in Jersey Cash 5 but also in Pick-6.
Best pattern:
Expected occurrence (pattern #1)
= 0.0530121392 x 2,000
= about 106 occurrences
Middle pattern:
Expected occurrence (pattern #7)
= 0.0353414261 x 2,000
= about 71 occurrences
Worst pattern:
Expected occurrence (pattern #39)
= 0.0073627971 x 2,000
= about 15 occurrences
You can play the most worthwhile Pick-6 games when you choose your options wisely. Again, the Lotterycodex patterns can provide valuable help to accomplish this.
One worst pattern, pattern #39, offers a ratio of 1 to 133. Pick-6 has only 2 draws per week so it might take 17 months before you have an opportunity win. Would you be willing to spend money and/or play this long for such a combination?
Obviously, pattern #39 is not a combination to even think of using. Pattern #7, meanwhile, as a middle pattern offers a ratio of 1 to 28. With 29 attempts for one winning opportunity, you might need to play for 4 months and spend at least $29.
Worst and middle patterns are part of a player’s options. Yet, never set aside your capability to decide on what is the best course of action. In a lottery game, your main purpose is to win the jackpot (or maybe a 2nd substantial prize).
However, the number of inevitable losses is always greater than the number of chances to win. Therefore, you must play in a way that these losses will be reduced or kept to a minimum. You must play in a way where you can have maximum chances of winning.
This is how you could have the best shot at winning in New Jersey Lottery games. As a result, the best patterns are always the ideal patterns to use when creating playable combinations.
In Pick-6, for instance, pattern #1 can provide you with the ratio of 1 to 19. It might require you to spend $20 and play for about 3 months before getting the opportunity to match the winning combination.
One reminder for responsible playing is to set a limit. Suppose the limit you have set is to play continuously for a year. Then, let us see if the best patterns in Jersey Cash 5 and Pick-6 will indeed make that entire year worthwhile.
Jersey Cash 5 has daily draws.
A worst pattern, Pattern # 32, gives only 3 opportunities to match the winning combination in one year
Pattern # 5 can help you match the winning combination about 11 times in a year.
The best pattern is Pattern #1, which could give you 24 winning breaks in one year.
Pick-6 has twice a week draws.
Pattern #39 as the worst pattern might not even give a single at matching the winning combination in one year.
A middle pattern, pattern #7, could offer 3 of such opportunities in one year.
Yet, the pattern that can provide the most winning breaks is pattern #1 with 4 chances to match the winning combination.
Probability and combinatorics not only directs you to where the best options are. They can also help in creating a timing strategy for playing.
Use the Lotterycodex calculatorAre math computations not your cup of tea? Then consider using Lotterycodex calculators. These will help you in conveniently and precisely applying advanced combinatorial analysis each time you play the lottery.

Since you know the benefits of sticking to the best pattern, this is also the pattern to use even with Cash4Life games. Here, the best pattern can appear about 24 times in a year at an approximate interval of 15.
If the pattern appeared at today’s draw, it might not appear again tomorrow, but only after 13-17 draws. This is because the interval is only an estimate. There is no way to know when it will occur exactly so it could be before or after the 15th attempt or draw.
During the days when you do not expect the pattern to appear, you may skip playing and instead save money to buy more tickets when you play again after 13-17 days.
Probability and combinatorics will not show the next winning combinations. Yet, they can help you play with fewer ways of losing and with the most ways of winning.
To play effectively, it will help if you will avoid anything that can further lower your winning chances, such as quick picks and superstitions.
Are superstitions and quick picks part of your game plan?
Have you been avoiding the number 13 when making combinations because you think it is unlucky?
Guess what? Other players surely have unlucky numbers they prefer not to use. However, you just realize this decision will only cripple your chance to win.
Every ball in a lottery drum has an equal chance of getting drawn. The law of large numbers also says that all numbers will converge around a similar frequency if there is an enough number of draws.
Hence, there are no lucky or unlucky numbers.
There are superstitions that players use when playing lotteries. Some are good to follow, but never let false beliefs jeopardize your odds of winning.
Speaking of false beliefs, there are some players who mistakenly suppose that using quick picks will help them win. Although some players actually won using quick pick combinations, this is not a reliable method of playing.
Using quick picks means surrendering your ability to know your options and to choose the best.
A playslip marked with quick pick enables the lottery machine to use an algorithm for randomly assigning numbers on the player’s ticket. This is the same as playing without a strategy.
A strategy, especially one based on precise mathematical calculations and accurate analysis, is crucial when playing lottery games. For example, a strategy based on combinatorics and probability, allows you to see the worth of each combination.
Strange combinations are coincidences in lotteries.
There are coincidences in lotteries. One is about a woman who won twice in 4 months in the New Jersey lottery.
Some incidents are amazing; they might inspire you to copy what the winners did in hope you will also win. Many of these success stories involve unusual combinations that many players actually use when they play lottery games.
The table above shows examples of these strange or non-random combinations.
Some combinations have easily noticeable patterns. For example, 1-2-3-4-5 follows a consecutive pattern or consecutive counting from 1 to 5.
There are variations of this consecutive pattern. The combination 2-4-6-8-10 follows a consecutive pattern, but one with a gap of 2 in between numbers. This pattern is like 5-10-15-20-15 where the consecutive pattern involves the interval of 5 in between numbers.
You can see another variation of the consecutive pattern, such as in 1-2-3-11-12. Here, there are 3 consecutive numbers from the 1-10 group and 2 numbers from the 11-20 group.
There are also non-random combinations whose patterns are not easily noticeable.
2-4-7-11-16-22, for example, has a pattern that might take you a while to notice because the intervals are 2,3,4,5 and 6 in between numbers.
While these combinations may look attractive on the playslip or may be easy to remember, are they of any value?
1-2-3-4-5, as basic combinatorial analysis showed, has contradicting ratios.
2-4-7-11-16-22, meanwhile, would not even make it past the Lotterycodex combinatorial design.
In most cases, these non-random combinations have worst or bad ratios of success to failure. Yet, they can still end up as the winning combinations because of the law of truly large numbers.
This law states that strange occurrences and coincidences occur because of a large number of draws or opportunities. The previous tables above show that the worst patterns could occur even once in 2,000 or 5,000 draws. In a 5/60 game, for instance, pattern #51 may occur once in 2,000 at an interval of roughly 1,819.
With this knowledge, you now know that non-random combinations might not be ideal to use when playing lottery games. It will be to your advantage to base your decision on combinatorial patterns instead of numerically creative patterns.
“It’s only a game. Remember, play responsibly.”
Let me borrow this line from New Jersey Lottery as we wrap up this article.
Never forget that the lottery is a game of chances. Some chances are for winning, but most chances are for losing. When you play the lottery, you should know that you cannot change the probability of winning. Its odds are also hard to beat.
However, this does not mean you have no way to play advantageously. Through a mathematical approach based on combinatorics and probability, you can have a handicap as a lottery player.
You will not know which numbers or combinations will win in the following draws. Nobody and nothing could ever accomplish this. Nevertheless, combinatorics and probability can help you play with fewer ways of losing and more ways of winning.
All you need to do is make the most logical and practical choices by selecting the best patterns and combinations. You have the power to choose so make the most out of it not only in creating playable combinations.
Likewise, use this ability in the following aspects related to playing the lotteries.
Setting and optimizing your lottery budget
Responsible gaming involves setting a limit on how much money to spend. This means you ought to stop once you have used your entire lottery entertainment budget.
Sticking to a budget ensures you will not disregard your and your family’s needs for the sake of lotteries. Do not spend more than you can afford to lose.
A lottery entertainment budget for solo playing could allow you to buy only a few combinations. Apparently, you can have better probabilities of winning if you play more lines for a lottery game.
To buy more than what your budget allows, you can start or join a lottery syndicate. The lottery syndicate is a group of lotto players who pool their budgets in order to cover more lines in a game. Members share whatever prize these tickets win.
Playing solo or with a syndicate, always remember that you must choose the combinations with best patterns and ratios. Otherwise, you’ll only waste money, time and energy on worthless combinations.
Considering lotteries as recreational activity
Just like any other game, a New Jersey Lottery player is bound to win or to lose, but with lottery games expect to experience more losses. Still, combinatorics and probability can help you in minimizing these losses by playing with the best ratios.
All games from the New Jersey Lottery are recreational activities. As a player, never think of winning lottery prizes as a substitute for your real job. Yet, you may think of lotteries as a way of making money when you become a part of the lottery industry.
This means taking part in lotteries as a seller/retailer of New Jersey Lottery tickets. Being a retailer, however, requires big money or investment. Nonetheless, the inverse lotto strategy can teach you other ways you can benefit from the lottery.
You could probably buy other people’s tickets so they will not need to visit a retail store themselves. Collecting a small fee for this service could pay for your own tickets. The inverse lotto strategy can show you other ways to benefit from the lotto industry, so be sure to check it out with Lotterycodex.
Remember that the lottery is only a game. Following a strategy and knowing you gave it your best is the essence of playing. Winning prizes should be only as a huge bonus.
If you win minor prizes, you could use them to buy more combinations and tickets. If you win the jackpot, spend and save it wisely so you can reap the lottery rewards for years to come.
Other games from New Jersey Lottery
While there are no Lotterycodex calculators applicable for Pick3 and Pick4, you may still play these games from New Jersey Lottery.
There are also Fast Play Progressive games you can play along with many scratch games.
Non-winning tickets could also be eligible for joining the second chance draws.

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