## 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 …