Fantasy 5 – How To Play According To Math

Fantasy 5 – How To Play According To Math


Last updated on February 2, 2021
Fantasy 5 is a game where you must pick 5 numbers from a given number field.
It’s like playing basketball where a team needs 5 players.
Did you know that number 5 is the corresponding number for Mercury, the planet of intelligence, awareness and logic?
Thus, let this post make you aware of your options when playing this game.
Learn more about the game so you can make an intelligent and logical game plan.
Hence, even if your birthday is not the 5th, 14th or 23rd, Mercury’s redeeming qualities may still manifest in you.
Without further ado, let’s explore more about the Fantasy 5 game.
Use the correct tool for playing Fantasy 5.
To win the jackpot in a lottery, one needs to buy a ticket. The usual process of buying a ticket involves getting a playslip and marking the numbers one wants to play for in the game.
Easy, right? It seems like a child play that some people simply mark the numbers that they first think of.
However, even a child’s game like a piñata requires a certain strategy for winning. A blindfolded child could mentally count his step to overcome the inability to see the goal.  This way, he could be close to hitting the piñata and win.
Here, we see the importance of a strategy for winning even a simple game like piñata. This also emphasizes the significance of a well-thought-of plan when playing adult games like lotteries.
So what strategies are available for picking lottery combinations?
A commonly used strategy involves statistics where players track the hot and cold numbers. Hot numbers are those that have been drawn more times than the cold numbers. They assume that cold numbers are long overdue and could, therefore, win next.
Some lottery websites even provide players with the statistics, but would a smart lotto player rely on hot and cold numbers?
A lottery game like Fantasy 5 is one event governed by the law of large numbers or LLN. According to this law, a huge increase in the number of draws will show that the frequency of occurrence of all numbers will eventually converge around the same rate.
Therefore, it cancels the effectiveness of the initial observation on hot and cold numbers. This confirms that statistical analysis is not the correct tool for creating lottery combinations. Statistics for number tracking will never work in the lottery.
If so, what will?
The lottery is random, but it is also deterministic. There are causes to all events. This image suggests that a mathematical strategy exists.
This is the computer-generated image of a lottery’s randomness. There are white streaks and gray dots that represent combinations in a lottery game.
This image suggests there is a way to take advantage of the lottery’s randomness. There are ideas a player may use so he will not be mathematically wrong for most of the draws.
The randomness of a lottery game permits the use of probability calculations. These calculations will pave the way for arriving at accurate and more precise conclusions consistent with the law of large numbers. You’ll see more details to support this when you read this visual analysis.
Mindy works in such a great company. Every week, their boss would pass around a box containing 10 balls in orange, purple and green. These balls denote small, but still exciting incentives that change every week.
For this week, orange is for a bag of chips. Purple is for a brand new earphones. Green is for a $50 gift check.
No employee knows the number of balls in each color. Thus, if Mindy wants to know if she could ever pick an orange ball, she has to use statistical sampling.
Yet, the boss may declare there are 5 orange, 2 purple and 3 orange balls. Based on these details, she would know her probability of getting a $50 GC.
The lottery is just like the second scenario. Every game lets players know how many balls there are and how many numbers they must pick. Therefore, a lottery has a finite quality that allows probability calculations.
Probability comprises the best tool to use for the lottery. However, probability alone will not complete a precise mathematical strategy.
You must put combinatorics into your perspective too.
Which ratio should you choose?
A lottery game is random. It has a fundamental probability that no one can control. No one could predict which combinations will win in the next draw. Nonetheless, a mathematical game plan will help bring this winning chance close to your grasp.
Statistics is not the right tool for this; combinatorics and probability are.
One might ask a philosophical question. “Statistics is a mathematical concept, so why can’t I just stick to it?”
In math, our teachers taught us that we must analyze a problem in order to find the right solution. Look for the given or known data and pick a method most appropriate to find the answer.
I have told you above that statistical tracking is not the proper way of selecting numbers. It is because all numbers ultimately have equal chances of getting picked with an increased number of draws .
Since lottery games have known pick size and number field, statistical analysis will not work. That’s why I have shown you that probabilistic analysis is the better way to go.
Statistics and probability are both mathematical concepts, but we have determined that the latter is more appropriate to use with lotteries.  Now, let us focus on establishing what will give us a complete solution to lottery number and combination selection.
A lottery game has thousands to millions of possible combinations, depending on a game.
For example, Florida Lottery Fantasy 5 has 376,992 possible combinations. Each combination has equal probability.
Probability tells how likely an event will occur. In the lottery, probability is the likelihood that your chosen combination will match the winning combination. The formula below helps determine this.
Let us assume you want to play for the combination 5-9-27-35-36. In order to win, the winning combination must have the exact numbers you have selected. Thus, out of 376,992 total combinations, you have only one probability.
This goes for any combination you choose. To increase your chances of winning, buy more tickets with other combinations.
Thinking only about the probability of winning, you could lose the opportunity to find a better game plan. This is the best time to pay attention to the odds of winning.
Odds measure the likelihood that an event will happen against the likelihood that it will not happen.  Hence, odds also refer to the ratio of success to failure. The formula for odds is
Probability and odds are both ratios. Yet, their difference provides an avenue for achieving the strategy that we want to establish.
With probability, you consider only the combination you selected. Thus, this combination is like other combinations by having only one probability to make you win the jackpot. Either you win or you lose, no matter what combination you choose.
With odds, you consider every group of combination and calculate how far or how close it can bring you to the jackpot. Therefore, it does not limit your winning perspective. It lets you discover and understand more about the game so you can find the best way to deal with it.
Probability and odds are two mathematical concepts that players should use together when analyzing combinations in the lottery.
An analogy that could help you understand probability and odds better is a television. Probability is like a black and white television where you see only two colors. White is the probability of winning, and black is the probability of losing.
Odds are like a colored television, like the modern QLED TV, which allows you to see different colors on the screen. These colors represent the combinatorial groups and their unequal odds.
Remember that there are many combinations for a certain lottery game. Odds enable you to divide these combinations into groups. Combinatorial groups do not have the same odds or ratio of success to failure. One group will have a better ratio than the others.
The combinatorial group with the best odds will give players fewer ways of being wrong. This is the group that a smart player will use when picking numbers on the playslip.
This table above is for a Fantasy 5 game with 36 balls. The ideal combination to spend money on is one with 3 odd and 2 even numbers. The worst combination is one that comprises 5 even numbers.
Why? Look at each groups’ ways of winning and failing. A 3-odd-2-even combination can provide 15 times more ways of winning than a 5-even combination. When you play for a combination with 3-odd-2-even, you have 116,280 fewer ways of losing than with a 5-even.
The key concept is to have fewer ways of losing and more ways of winning in your lottery games.
 If you know which combinatorial group has the best odds, would you still insist on anything less? You would definitely not; unless you want to spend money on the wrong combinations for most of the games you play.
In our example above, a 3-odd-2-even combination allows you to have more ways of winning, yet fewer ways of losing. Thus, it is the option you will rationally choose instead of a 5-even combination.
Suppose you do not know about combinatorial groups. You regularly played 2-24-18-22-30 because these are your family members’ birth dates. You have been spending money on one of the worst combinations and then stumbled upon this article.
It is understandable for you to feel regretful after realizing you just wasted your money. The combination you have been using for years turned out to have the worst ratio.
RememberLooking at the odds or ratio of success to failure of a combination will show you if it is worth spending money on as you play the lottery. The combination with the best odds will not exactly give you the next winning combination.The lottery is random and has a governing probability that no one can change. In a lottery game, a combination with the best odds can bring you closer to winning the jackpot.What combinatorial groups can give you is not the power to beat the odds. Instead, it grants you the opportunity to use your logic and free will to make the right choice. You may also choose to not play, if you think this is the ideal action to take.
The combination with best ratio is not necessarily the next winning combination. Instead, it makes spending money worthwhile since you can get closer to the jackpot every time you play.
Always choose the combinatorial group with best ratio of success to failure. Now, let’s explore more about the games’ combinatorial groups and ratios.
Let’s analyze the basic combinatorial groups for Fantasy 5.
Numbers are interesting because they have various meanings and connotations. This number 5, for example, will fascinate you. Some refer to it as the number of humanity. A human (generally) has 5 senses, 5, toes, 5 fingers and 5 major body systems.
With lotteries, you might even feel amazed that there are 5 US states offering Fantasy 5. Florida, Georgia and Arizona have obviously different versions of the game. California and Michigan have games that look similar on the onset, but the differences lie on the game mechanics and prize layout.
So, if you wish to know how to do well in each of these Fantasy 5 games, keep reading with a passion the information below.
With lottery games, the composition of combinations is where you should put your attention to. How do you pay attention to the composition? You would surely ask next.
Combinatorial groups not only differ in terms of odds. They also differ in composition. To explain to you more about composition, we have to first go back to the basics of playing lottery games. 
Anyone who wants to play the lottery must know what numbers and combinations are.
We can say that a number is the basic unit of a combination. One number alone seems insignificant. Yet, when placed together with other numbers, you can have a combination that can win the jackpot.
In lottery games, all balls in a drum have the same weight, texture, shape and size. No ball will get frequently drawn because it is heavier or has a rougher texture than the other balls. All balls in a drum have equal chances of getting taken out during a draw.
A well-played game of Fantasy 5 (or any lottery game) is one where you meticulously select the numbers that will complete a playable combination. This way, you can create a combination that is worth your lottery entertainment budget.
In a Fantasy 5 game, a playable combination comprises 5 numbers from a particular game’s number field.
The number field refers to the balls in a lottery game. Each ball carries each number you may select when forming the combination.
Composition is the anatomy and configuration of a combination. What odd or even numbers have you included in your combination? Which low or high numbers did you select? These are some questions you might ask when you’re considering composition of combination. Remember the composition varies depending on number field of a game.
Let’s first look at Florida Lottery Fantasy 5.
This game offers a prize of about $200,000. Choose 5 numbers from the number field of 36 balls. One play costs $1 and pay another $1 for an EZmatch game to get a chance to win instant cash.
With 36 balls, the total number of possible combinations here is 376,992.
The number sets included 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
Categorizing numbers into odd or even is easy. Even with your eyes closed, you can tell if a number is odd or even.
Thus, the combinatorial groups for this game are
Composition may refer to the odd and even numbers that make up a combination. As a 5-number lotto game, the combinatorial groups here are 5-odd, 4-odd-1-even, 3-odd-2-even, 2-odd-3-even, 1-odd-4-even and 5-even.
The values in the table show that there are only three groups you could choose from, based on their odds. 5-odd and 5-even have the same ratio of success to failure. They both offer 8568 ways to win and 368,424 ways to fail.
The middle option of combinational group is 4-odd-1-even or 1-odd-4-even.  Either group will let you win 55,080 ways and lose 321912 ways.
The groups that provide the best ratio are 3-odd-2-even or 2-odd-3-even.  With 124,848 ways to win, your ways to lose using this group are 252,144. These groups have 1.5 times reduced ways of losing than the worst groups of 5-odd or 5-even.
Would you trade a pattern that can occur 33 times for one that can only happen 15 or 2 times in 100 draws? A keen player would likely not.
When it comes to a mathematical strategy based on composition, odd-even is not the onlystandard. Another decisive factor for choosing numbers is low-high.
For a 5/36 game, 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
To make the low and high sets, just divide the number field into two.
You also have three options in terms of the ratio of success to failure from low-high composition.
The worst choice is 5-low or 5-high. It offers 15 times fewer ways of winning than the best choice.
The run-of-the-mill option is 4-low-1-high or 1-low-4-high. Its probability value is 2 times lower than the best choice.
The best choice is 3-low-2-high or 2-low-3-high. It can reduce your ways of losing by 1.5 times than when you use a 5-low or 5-high pattern. It also can occur twice as much as the middle choice pattern in every 100 draws.
While doing the laundry, Patricia found a $10bill in the pocket of her jeans. She used it to buy a ticket for 10 consecutive games. She played for 8-12-22-26-34 that she all saw when she watched the television.
Was the decision a good one or not? Let’s see.
Based on odd-even analysis, 8-12-22-26-34 has 5-even pattern. It is one of the worst patterns to use for this game.
If we analyze this combination’s low-high composition, we discover that it has the best ratio because of its 2-low-3-high pattern.
                8-12-22-26-34 = (worst odd-even ratio + best low-high ratio)
We see contradicting analyses for this combination, and this implies that it would not yield a satisfactory result in the draws. Therefore, Patricia’s decision to buy a ticket for 10 consecutive games for 8-12-22-26-34 was impractical. She could have alternatively spent it on other things like food or a basic monthly subscription of Netflix.
If only she were more careful about her number selection, she could have come up with a better combination. If only she read a combinatorial group article before she headed to the lotto retailer, she could have changed her numbers.
There are many ways to tweak her combination in order to follow the best choice of 3-odd-2-even or 2-odd-3-even pattern. She could have instead played for 9-12-23-26-35 or 8-12-21-27-33.
RememberYou could play using a 3-low-2-high or a 5-low combination. The probability of winning remains the same, regardless of the combination.Yet, choosing a 3-low-2-high instead of a 5-low combination lets you benefit from having more ways of winning and fewer ways of losing. This is because a 3-low-2-high pattern has a better ratio of success to failure than a 5-low pattern.
Notice that learning about combinatorial mathematics and applying it as a strategy when playing the lottery is beneficial. It lets you analyze the worth of your originally chosen numbers, then change them when necessary.
This also applies for the California Lottery Fantasy 5.
One play also costs $1, but the top prize starts only at $60,000-80,000. This California Lottery draw also has more balls, 1-39, than the Florida Lottery game.
There are 575,757 total possible combinations here. With 1-36 balls, the odd/even sets 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
Players can make combinations with the patterns in this figure below.
The same combinatorial groups from the Florida draw game exist in this California game. Yet, notice that the number of possible combinations, the probability value and estimated occurrence are different. This is because of the increased number of balls in the 5/39 lotto game.
The easiest way to compare these groups, based on the table’s data, is through their estimated occurrences. The best option is 3-odd-2-even because of its ratio of success to failure of 17 to 33.
It offers the highest number of ways to win at 194,940 and the least number of ways to lose at 380,817.
The 2-odd-3-even pattern might have only 2 fewer occurrences in 100 draws than the 3-odd-2-even. Yet, you can lose in almost 11,000 more ways with a combination with 2 odd and 3 even numbers.
The middle combinatorial groups are 4-odd-1-even and 1-odd-4-even. The best pattern has twice as many ways of winning than the 4-odd-1-even pattern. Meanwhile, the 1-odd-4-even group offers 2.5 times fewer ways of winning than the best pattern.
The intelligent choice is easy to make when you are comparing 3-odd-2-even with 5-odd and 5-even. You can have a 3-odd-2-even combination that can appear more than 10 times in 100 draws than 5-odd or5-even.
In 100 draws, you can lose 97 times with a 5-odd combination or 98 times with a 5-even combination.
Clearly, the best choice will give you 34 winning opportunities out of 100 draws. The worst choice can give you only 2 opportunities to win.
Therefore, select your combination so it can have 3 odd and 2 even numbers. Conversely, you must complete another analysis of your combination in order to make sure it will really bring you close to the goal. Look at your combination’s low and high number composition.
A 5/39 game has
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
See the low-high combinatorial patterns you can use here in the table below.
The pattern with the highest probability value is a 3-low-2-high combination. Thus, this pattern with 194940 ways of winning can give you 34 winning opportunities from 100 attempts.
Its ratio of 17 to 33 is slightly higher than that of a 2-low-3-high group, but still better.
The 4-low-1-high and 1-high-4-low patterns respectively have 92055 and 77520 ways of winning. These values make them the middle choice of low-high combinatorial patterns in a 5/39 draw game.
There are also 15504 combinations with 5-low pattern and 11628 combinations with 5-high pattern. The 5-low pattern offers 13 times less ways of winning than the 3-low-2-high. The 5-high group offers the smallest chance of winning, which is 17 times less than 3-low-2-high.
This table above provides a useful reminder of how to choose numbers with the best low-high pattern.
How should a player use this knowledge in actual play instances?
It was Frank’s grandfather’s 15thdeath anniversary, and to relive the old man’s legacy in a way; he played his favorite lottery combination of 19-23-27-30-39. He recalls that when his grandfather was still alive, the old man went home and excitedly told them that his combination won.
It was really not the jackpot prize since the old man only matched 4 out of 5 numbers of the winning combination. Still, the grandfather brought home about $400.
Thinking that he would also be as lucky, Frank played the combination that his grandfather had played for more than 6 years.  Is the combination lucky or does its combinatorial pattern contributed to its onetime almost-success in winning the jackpot?
Let’s analyze 19-23-27-30-39 together.
This combination follows a 4-odd-1-even pattern. From our discussion above, we have determined this pattern to be one of the middle choices for its ratio of 4 to 21.
It also has 1-low-4-high pattern. This is likewise a middle choice among low-high combinatorial groups for the 5/39 game.
In summary,
19-23-27-30-39 = (middle odd-even ratio + middle low-high ratio)
You might think that Frank’s grandfather’s combination is good enough. Yet, Frank would probably get closer to winning the jackpot if he will change some numbers. One possible new combination he could use instead is 6-15-19-27-30 to use the best odd-even and low-high ratios.
Use basic combinatorial analysis for Michigan Fantasy 5 too.
The above information also applies to Michigan Lottery Fantasy 5, since it also has 1-39 balls in the number field. Michigan Lottery has different game mechanics and prize. Its starting jackpot is $100,000, which is higher than California Lottery’s.
Here, you can buy $1-each ticket in-store and/or online. Playing online, there’s “Combo My Numbers” option. It is like a lottery wheel wherein you can choose 6-10 numbers. The system will auto-generate all possible combinations of your selected numbers.
While this option might seem convenient, do you think it is also efficient? We discussed that there are thousands of possible combinations in the Fantasy 5 game. However, only a few are worth spending money on.
Even if you limit the number field to only 10, not all combinations from these 10 numbers have the best odds. Basic combinatorial analysis helps you filter these combinations so you would know which the best to use are. It could be useless to use the combo feature when you play online because you would also pay for combinations that have worst or low ratio of success to failure. Stick to picking the 5 numbers on your own. This remains the helpful method since you can enter a combination with best or high odds.
Remember Analyzing combinatorial groups is one example of when to apply the concept of combinatorial mathematics. This area of math allows us to group, count, arrange and select anything with a finite system. Combinatorial mathematics may apply to any object like fruits of animals; even numbers of balls in the lottery.Categorizing numbers as odd, even, low and high provides us with way to make accurate mathematical calculations. It is not exactly the strategy in itself. Combinatorial mathematics allows you to make …

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Florida Lottery – Winning Strategy According To Math

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 …

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