Last updated on January 2, 2021 You spend $1-2 a day for a Virginia Lottery ticket using your favorite numbers. It’s still worth it since I can donate to the Commonwealth’s K-12 public schools. You tell this to yourself each time you lose. Nothing seems wrong except to realize it’s time to stop because the desperation from losing is not worth your charitable justification. You are better off stopping than developing an unpleasant habit of trying to recover huge losses. However, let me first show a better way of playing the game before finally saying, “I’m done buying lottery tickets.” I cannot tell exactly when you will win, but I can explain how you could play your game with the best shot possible. Learn to use a mathematical strategy for winning the lottery. Are there tools you can use to win in the Virginia lottery? There are, but definitely, statistics is not one of those tools. Let me explain. Every Virginia Lottery draw game has a specific web page where you can see its rules, prizes, and past numbers. Click on “Past Numbers” to sight previous winning numbers. Crunch the Numbers. This option caught my attention. This option lets users see the statistics for each ball in the game. For example, there are 41 balls in Cash 5, and the “Crunch the Numbers” button will give the statistics for each of these balls. You will know the number of times they have drawn each ball over several draws. Therefore, this option serves a good purpose for players who rely on lotto game statistics to determine hot and cold numbers. Statistics is a method that many lotto players have long been using to select the numbers they will mark on their play slips. The question, however, is if this method really works. Interestingly, the number-crunching option also provides an important disclaimer. “Remember that every draw is random and that each number has the same chance as any other of being selected,” it says. This reminder agrees with the basis of our discussion. The image above is a visual representation of the lottery’s randomness. Statistics may actually show the frequently and infrequently appearing numbers in 100 previous draws. This observation will change with a significant number of draws. The dots will change from white to gray to dark gray and then red, as you can see in this article. Each of these lotto numbers will converge around the same frequency with plentitude draws. This proves the law of large numbers. Therefore, there are no hot and cold numbers. Statistical analysis will never work in any Virginia lottery game. This is a fact that many players still refuse to believe. What will work in the lottery then? Consider this. In front of you is a leather bag. This bag contains 10 marbles. The marbles come in red, yellow and blue. You can use statistics and the sampling method to determine the exact number of marbles in each color. In contrast, statistical sampling is not an applicable tool for games like the lottery. Remember that in a lotto game, you definitely know how many balls there are. In Cash 5, Bank a Million, and Cash4Life of the Virginia State Lottery, players also know how many numbers they can pick. The lottery is random, yet, the lottery’s randomness and finite structure are what players may take advantage of if they want to one day win. The lottery is like a battle, competition, or match. You must create a fighting strategy that considers every move or attack, so you will know which ones will work best on your opponent. In a lottery, your possible attacks are the possible combinations you can create out of your number choices. Your fighting strategy is applying combinatorics and probability theory to pick the combination with the best odds of winning. Remember this; we don’t use statistics in a finite game like the lottery; the right tools to use are combinatorial math and probability theory. Ratio matters There are two primary mathematical concepts to learn and embrace to play the lottery with confidence rather than to play with your fingers crossed. These are probability and odds. It is crucial to keep in mind that odds and probability are two different mathematical terms. Each has a different meaning in the lottery. If you recall, back in school days, your math teacher discussed these topics as a pair. I believe this is because people ought to apply them together in many real-life situations like the lottery. Probability numerically describes the likelihood that an event will occur. Odds numerically describe the ratio of success to failure, which means the number of ways an event occurs against the number of ways it will not occur. In lotteries, the formula for probability is For example, the Cash 5 game of Virginia Lottery has a total combination of 749,398. The probability that you will win in this game is 1 in 749,398. The same is true, with Bank a Million. There are 3,838,380 combinations here, so the probability of winning is 1 in 3,838,380. In the Cash4Life game, the total combinations without the Cash Ball are 5,461,512, so the probability a player will win is 1 in 5,461,512. No matter the game and no matter what combination you play for, this probability does not change. Unfortunately, many players rely on pure luck to help them get over this probability fact. For them, it does not matter whether they play with a strategy since the outcome will either be a win or a loss for them. This mindset will only make you lose money unnecessarily. It is good to have a strong will not to chase your losses and avoid developing a compulsion. Otherwise, plan your games well so you can spend money well. This is where you must develop a mathematical strategy based on the ratio of success to failure or what we call odds. To compute for odds in a Virginia lottery game, the formula below applies: Considering just the possibility of winning and not thinking about the odds can waste your chances. In Cash 5, you can use the combination 1-2-3-4-5. For Bank a Million, a player may use a combination like 4-8-12-16-20-24. You may also mark the numbers 8, 14, 22, 28, and 32 on a Cash4Life ticket. Your number selection could be all odd or even numbers or a mix of odd and even numbers. Referring to the table above, the 1-2-3-4-5 combination for Cash 5 contains 3-odd and 2-even numbers. Since there are 749,398 combinations for this game, this combination offers the odds of 252,700 ways to win over 496,698 ways to lose. Thus, odds refer to the ratio of success to failure. Let us see how the player’s 4-8-12-16-20-24 will fare in the Bank a Million game. From the table above, this combination belongs to the 0-odd-6-even group, which only gives 38,760 ways of winning, but 3,799,620 ways of failing. Thus, it is one of the worst choices of combination to play. What can you learn from these examples? That you do not necessarily have to think you have only one way to win, and there is no way to get around it. Realize that you have a choice. You can always make a better choice. Choose the combinations with the most favorable ratio of success to failure. This is better than arbitrarily picking numbers because there are only 2 probable outcomes. RememberTo achieve the goal of winning in the lottery, know the ratio of success to failure. No one can control the underlying probability of lotteries. None can beat the lottery’s odds. Yet, a perceptive lotto player will use his power to know and make the right choice. He may even choose not to play if he perceives it to be the best action. To make the most out of your lotto entertainment money, you need to pay for tickets with carefully selected combinations of numbers. This applies to Cash4Life and other lotto games too. Careful selection means minding whether the number you mark on the ticket is an odd or an even number. After all, your combination’s odd-even composition will determine how many opportunities you could have over many draws. Our example above for Cash4Life, 8, 14, 22, 28, and 32 are all even numbers. Based on the table above, a 5-even combination is the most terrible number selection because this could match the winning combination out of 38 play attempts. Without considering the ratio of success to failure before choosing the numbers, you will have more chances of betting on the wrong combinations. Through a mathematical strategy, there will be fewer times you will choose the wrong combinations. You will have more times to play with combinations that have more opportunities to match the winning combination. If you are a smart player, would you waste this opportunity? No. Thus, learning more about combinatorics and probability will be a clever decision. Introducing, the combinatorial groups in Virginia Lottery games The finite structure of a lottery comes from the pick size and number field of each game. The Virginia Lottery reminds us that every number has an equal opportunity in the draws. This is because each ball in the drum shares the same texture, weight, and size as the other balls. No biases favor one ball (or some balls) over the others. Yet, with only one ball or number, you cannot play the lottery. You must complete the required pick size to play for a combination. In Cash 5, the number field is 1-41, while the pick size is 5. Therefore, you must have the best combination of 5 numbers from the options of 1 to 41. Bank a Million has 1 to 40 balls from which you must create a 6-number combination. The number field in Cash4Life is 1 to 60. Its pick size is 5, so play for a combination containing 5 numbers. A player must know this basic information about numbers and combinations because this will help him appreciate using a combinatorial group in playing the lottery with the best shot at the jackpot. Remember that a combination contains numbers. In a lottery game, a number could be odd or even and low or high. The quantity of odd-even, low-high numbers will determine a combination’s composition. Composition gives a combination with its distinctive characteristic that corresponds to its ratio of success to failure. This should be the focus of your strategy for Virginia Lottery games. This composition will then put each lotto game’s combination according to its group. The previous images above showed some of these combinatorial groups (you will see more of these groups below). RememberThere is only one probability of winning regardless if you play with a 3-low-2-high or a 5-low combination. The ratio of success to failure can tell you which between the two offers more ways of winning. You will not choose the 5-low combination because it has more ways of losing than the 3-low-2-high combination. Knowing how to pick the best composition will allow you to avoid selecting the worst combinations. Otherwise, you will wait too long to match the winning combination. For example, in the Virginia Lottery Cash 5 game, the best choice of combination is one with 3 low and 2 high numbers. Thus, will you mark all 5 low numbers on the lotto ticket, knowing you may have just one chance at matching the winning combination out of the 37 games you play? An excellent decision to make when playing Bank a Million is to select 3 low and 3 high numbers. This is because it gives about 34 times more ways of winning than all 6 low numbers. Without this knowledge, you will probably continue playing using combinations other than the 3-low-3-high pattern. Money flushes down the drain with this way of playing. Will you be okay with this possibility of wasting more money? The decision is yours, so make the most out of it. It is just fortunate that the lottery is random, and its structure is finite. This enables well-read players to plan their games with precise strategy using combinatorics and probability. Are you now ready to know more about the combinatorial groups in these three Virginia Lottery games? Then keep reading. Which combinatorial groups in Cash 5 give the best shot? The Cash 5 is a Virginia-only jackpot game where you could win at least $100,000. Pay $1 for each play. In one playslip, you could pay up to 6 plays. Pay an additional $1 for EZ Match for an instant prize of $500. As we have discussed earlier, Cash 5 of the Virginia Lottery is a 5/41 game. Creating a 5-numbers combination out of 1-41 balls will give 749,398 total combinations. Out of 1 to 41 balls, you can create the Odd/Even Sets: Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41 Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40 The combinatorial groups from this game that you have known so far are the 5-even and 3-odd-2-even. The worst choice has 237,196 more ways to make a player lose than the best choice. For every 100 draws, the 5-even pattern might occur just 2 times. There are other odd-even combinatorial patterns for Cash 5, and each of them also has its particular ratio of success to failure. You might ask, why do I still need to learn about them now that I already know the best choice of pattern to use? The answer is simple. It is because knowledge is power, and you will never know when this information might come in handy. RememberThere is no difference in terms of probability whether you choose a 5-even or a 3-odd-2-even combination. Yet, it makes a significant difference to choose 3-odd-2-even instead of 5-even because of the former’s higher ratio of success to failure than the latter. In comparison, you have 213,656 ways to lose with the 3-odd-2-even and 318,444 ways to lose with 5-odd. For example, your favorite grand aunt asks you to buy a Cash 5 ticket for her using her birthday (November 22, 1912) and her favorite number 8. The resulting combination from her request is 7-11-12-19-22. If you like to know the success ratio to failure for this combination, you must refer to the 5-41 Odd-Even Patterns table above. 7-11-12-19-22 is one of the 252,700 ways to win using the 3-odd-2-even pattern. This is one of the best combinations to play for. Let’s look at the combinatorial patterns for Virginia Lottery Bank a Million. The combinatorial groups that will help you Bank a Million In Bank a Million, there are 40 balls to choose 6 numbers from. Thus, the total possible combinations are 3,838,380. Each ticket costs $2. It is your decision how much wager to pay for and how much you will try to win. The Odd/Even Sets for Bank a Million are: Odd = 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39 Even = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40 From these number sets, the resulting combinatorial patterns are: Once again, knowledge about these combinatorial groups empowers you in making the smart decision to play lotto better. Playing better could mean spending money only on combinations that offer the best shot of winning the jackpot. People have different ways of deciding on lottery numbers. Some parents may ask their kids what numbers they can use in the lottery. For instance, one daughter gave 3-19-23-27-35-40 for her father to mark on the playslip. For years, this dad has been spending money on this combination since it made him win a consolation prize after he matched 4 balls. Do you think this dad’s decision to stick with the combination is worth it? Using the odd-even analysis, the daughter’s 3-19-23-27-35-40 contains 5 odd and 1 even number. The ratio of success to failure for this pattern is one of the worst. Out of 3,838,380, this pattern has 3,528,300 ways to lose. Virginia Lottery holds two draw days for Bank a Million. This dad has been wasting his money if he has been religiously playing twice a week for this combination. He already realized that he has been losing a significant amount of money, so he changed his combination. From 3-19-23-27-35-40, he decided on his family member’s birthday and age. The 37-year-old dad was born on April 1st. His 30 years old wife was born on October 12th. His 6 years old daughter was born on September 9th. Thus, his new combination is 1-6-9-12-30-37. Unknowingly, the father now uses the combinatorial pattern with the best ratio of success to failure in terms of odd-even numbers analysis. Combinatorial patterns truly make a difference in one’s game. However, I have mentioned above that a number’s characteristic is not just about its odd or even nature. It also matters to know whether a number is from the low or high group in a lotto game. Let us see how the low-high analysis works in Cash4Life. Playing Virginia Lottery Cash4Life with the best combinatorial groups A ticket is worth $2. You must select 5 numbers from 1 to 60 and a Cash Ball from 1 to 4. The extra ball changes the odds, but we will only focus on the 5 main numbers. We don’t include the extra ball in a probability study because it’s not practical since the extra ball is drawn from a different drum. Numbers in a lottery game are not only odd or even. A lotto game’s number field may have two groups of low-high number sets. Therefore, to have an accurate strategy, you also need to consider if your numbers belong to the low or the high set. In Cash4Life, the Low/High Sets are: Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30 High = 31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60 A retired office worker is trying her luck on the Cash4Life game. After all, the prize is like a handsome pension of $1,000 a day for life (for matching 5 balls and cash ball) or $1,000 a week for life (for matching 5 balls). She decided she will play for the numbers 10, 34, 48, 50, and 55 that first popped up in her mind while she marked the playslip. Is this combination good to use? Using the two sets of low and high numbers, the woman’s combination follows a 1-low-4-high pattern. From the Low-High Patterns table for a 5/60 game above, this pattern is considered a bad choice to have. From the total combination of 5,461,512, there are 4,639,362 ways to lose. There are only 15 times this pattern may occur in 100 draws. How about with the odd-even analysis? In terms of odd-even analysis, this woman’s combination is also among bad choices. Bad choice for odd-even + bad choice for low-high = poor shot Thus, continuously playing for her combination will only make the retired office worker waste her money. Let us go back to our examples above for Cash 5 and Bank a Million so you will understand why a complete analysis is important for combinatorial patterns. In Cash 5, the Low/High Sets are: Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21 High = 22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41 The aunt’s 7-11-12-19-22 is one combination with the best ratio of success to failure. This is in terms of odd and even composition. About the low and high number count, this combination has a 4-low-1-high pattern. The table above shows that the 4-low-1-high pattern is a bad choice. It is one pattern with an awful ratio of success to failure with 629,698 ways of making a player lose. Best choice for odd-even + bad choice for low-high = poor shot Thus, even if it passes the odd-even analysis, it still has a low score in low-high analysis. We have two combinations in our discussion above on Bank a Million. Let us look at them separately. First is 3-19-23-27-35-40. It is a bad choice to use in a game in terms of odd-even composition. In Bank a Million, the Low/High Sets Low = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 High = 21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40 Therefore, 3-19-23-27-35-40 follows the 2-low-4-high pattern. From the table above, this pattern is a good choice with 920,550 ways of winning. The best choice is 3-low-3-high, which offers 379,050 more ways to win. Bad choice for odd-even + good choice for low-high = poor shot The second combination of the father player, 1-6-9-12-30-37, has a 4-low-2-high pattern. This is like that of a 2-low-4-high pattern, so it is also an excellent combination to play for in the game. Best choice for odd-even + good choice for high low = fair shot Below each analysis is a summary of what we have observed from each sample combination. Based on such a summary, you can decide what step to take next as a Virginia Lottery game player. Will you still play for a combination that has a poor ratio of success to failure? You might end up wasting money. Will you skip playing altogether? Perhaps this is an excellent decision not to waste money, but not buying a ticket nulls your chance to win the jackpot. Allow me to reiterate that since you now know you have the power to choose, and then maximize this power by settling on the best choice of combinatorial patterns. Examine if your number selection has the right composition of odd, even, low and high numbers so you could have the best ratio of success to failure. Focus on the balance of your numbers. This will not guarantee you will know the exact winning number for the next draw. The lottery’s odds are hard to beat. Still, you can improve your choice based on the ratio. You can place yourself closer to the achievement of your goal. Making a complete analysis of odd-even and low-high composition is challenging. A moment of distraction can already lead to miscalculation. Besides, sometimes the odd-even and low-high analyses contradict one another. One example is with the 1-2-3-4-5-6 combination. Its pattern offers the best ratio in terms of odd-even composition. It offers the worst ratio in terms of low-high composition. Thus, what can you possibly do to ensure you will have a complete and accurate analysis of combinations? Let me tell you about an enhanced combinatorial analysis using a tool made for Virginia lottery players. No contradictions with enhanced combinatorial analysis It can surely lead to a disaster if you fail to perform a complete and balanced analysis on the odd-even, low, and high composition of a combination. For those with mathematical inclination, putting together the separate analyses is not a problem. Yet, just thinking about one mathematical analysis is already stressful for many people, let alone two. For that reason, you need to find a solution that will complete analyzing combinatorial patterns, both odd-even and low-high. This is the solution that Lotterycodex offers to every lotto player, especially those uninterested in computations and analysis. So let’s see how the advanced combinatorial analysis of Lotterycodex can help you with your lotto games. Let’s start with Cash 5. The table above shows how the calculator regroups the odd, even, low and high sets. Using our 7-11-12-19-22 example above for this game, let us see how the Lotterycodex combinatorial design can make things easier. Most of the numbers are low-odd, so right off the bat, you know while doing no basic computation or analysis that this is a combination that might not fare well in the draws. Doing the analysis manually may take you a while before you notice there is no balance in the number selection. Thus, the calculator will save you time for making a crucial examination of your number selection. You immediately know that there is a need to change your numbers to have the best shot at the jackpot. The Cash 5 game of the Virginia Lottery has 56 advanced combinatorial patterns, but only pattern #1 is the best one to incorporate in your game plan. If you like to play a different game, you can also use the Lotterycodex patterns for Bank a Million. The father’s first combination is 3-19-23-27-35-40 The calculator can immediately tell this is not a good combination to use. It enforces balance and can detect from the number input that the selection does not possess this balance. Thus, the father’s decision to change his combination was helpful. Yet, if from the beginning, he already used the Lotterycodex patterns to guide him, he could have avoided losing money. He could have already chosen his second combination 1-6-9-12-30-37 for his first Bank a Million ticket. He could have created an amazing game plan using this combination with a good ratio. For years, the father might have been unknowingly spending money on one of the worst patterns for Bank a Million. This holds for many other lotto players out there. They have been playing for a particular combination because it has a sentimental value for them. Yet, they see no good results out of the hundreds of dollars they spent on lottery tickets. This could be because the combination they are using is one of the worst patterns for this game. Through this advanced combinatorial group calculator, a player will know the best strategy to follow when playing the lottery. For Bank a Million, there are even 6 best patterns to use. It is beneficial to have a tool that can direct you in the right direction. Let’s take a look at the Cash4Life 5/60 game below. The retired office lady’s combination is 10-34-48-50-55. Her decision to choose numbers randomly is already bad, as it is because she played with no strategy. If she already did some reading from the beginning, she would know that it is a waste of time and money playing for this combination. It really helps when you have a great tool to use, such as a lottery calculator. Not only does it help save time, but it also allows you to use your effort and energy more efficiently. I want to discuss how these Lotterycodex patterns are created and how it can actually help you get the best shot in the lottery in my free guide: The Winning Lottery Formula Based on Combinatorics and Probability Theory For a player who follows no strategy in playing, he may have been buying Cash4Life lottery tickets using any of the worst or middle patterns. Even players who use other strategies other than combinatorics and probability might have been mistaken in their choice of combination. The lesson is simple. Do not waste time, energy, and resources marking the wrong numbers on the lottery play slip. For every lottery game, is it not that the primary goal is to win the jackpot? No player wants to lose, but the expected value of the lottery is negative for the players. This means that out of many times you play the lottery, expect not to win anything. The odds and the probability that govern the game of lottery are out of any player’s control. Still, as a player, there are ways that you can still turn the table in your favor. It starts by choosing the ratio that is most favorable for you. Which Virginia Lottery game should you play? Choosing the best lotto game to play is a personal decision. You ought to consider several factors so you can determine the game that you think will best favor you. When determining the most favorable Virginia Lottery game, the focus must be on what is “favorable” for you. Favorable could mean the least difficulty in winning the jackpot. For this, you may consider the pick size and the number field of the games you are comparing. These two factors are essential in establishing the chances of winning. For instance, the table above shows a comparison among the draw games from Virginia Lottery. The game with the least number of possible combinations is Cash 5. Generally, a game with the least pick size and smallest number field will yield the least number of possible combinations. Although Bank a Million has a smaller number field than Cash 5, the latter has a smaller pick size than the former. This makes the jackpot in Bank a Million about 5 times more difficult to win than in Cash 5. The probability of winning each game is one over the total combinations. The higher the total combinations will mean, the lower the chances of winning because there are more combinations to beat. Still, other factors may affect the total number of combinations. Look at Cash4Life. Our discussion above centered on a 5/60 lotto game without the extra ball. An extra ball (from 1 to 4) that the lotto authorities take from a drum separate from the drum where the main balls are will increase the number of total combinations. A 5/60 game has 5,461,512 combinations, but the table shows that the number of possible combinations with the extra ball increased to 21,846,048. With and without the extra ball, the jackpot is harder to win in Cash4Life than in Cash 5. A lotto game with a smaller number field, fewer balls, and no extra ball could be most favorable to play. Cash 5 remains the most favorable, even when compared to Powerball and Mega Millions. For the Powerball game, you choose 5 numbers from 1 through 69; and an extra ball from 1 to 26. The probability of winning is 1 over 292,201,338. Mega Millions has a total combination of 302,575,350. You need to pick 5 from 1 to 70 and an extra ball from 1 to 25. Another possible meaning of “favorable” is the payout. For instance, the jackpot for Cash 5 has reached $1 million, so players definitely spend time patiently waiting in line to buy tickets. Is it worth the effort to fall in line with the rest of these players? When the jackpot has become immense, it means that there could be over one winning ticket. This also means that there will be over one player who will take the money home. Would it be okay for you to share the jackpot with other players? There are many factors to consider when choosing the game that will favor your preferences and circumstances. It is always your choice that will prevail. Combinatorics, probability, and the law of large numbers There are things in life that we have to accept since we cannot control them. An example is that the odds in the lottery are almost unbeatable. For any game you play, there is only one probability of winning. Yet, you should not resign yourself to these facts about the lottery. A change in perspective will help you do better in the game. When playing the lotto, remember that you always have a choice. It is your choice which numbers to play, so you have to ensure you choose the combinations that will give you the best odds for winning. To make the best choice, analyze the composition of your chosen combination. This way, you could determine its ratio of success to failure. If the ratio is low, you logically need to change your combination with the best ratio. All this is possible because the lottery is random and has a finite structure for every game. For every game, you know just how many balls there are. For the first several draws, one will notice that some balls get more frequently drawn than the others. Therefore many players mistakenly use statistics to determine hot and cold numbers. Eventually, however, as the number of draws increases, each number’s frequency of occurrence will be almost the same. The law of large numbers is at work here. It further shows that every number and combination has the same probability. To develop a mathematical strategy for playing the lottery, look at the odds or the ratio of success to failure. Combinatorics will complete the equation. Because of every lottery game’s finite structure, it is possible to examine every combination’s composition. What pattern does your combination have? As I have numerously mentioned, you have the power to choose. It is your decision that will matter and prevail. When you play the lottery, you do so to win the jackpot. Therefore, you would want to buy lotto tickets to give you a better success ratio of winning. Thus, you decide on an approach that can make this possible. Combinatorics and probability provide a great solution. In the Cash 5 game, there are 56 advanced combinatorial patterns. Pattern #1 is the best pattern of all. Let us see why. Pattern #1 has a probability of 0.0733922428. In 2000 draws, you can expect this pattern to occur 147 times. Expected occurrence (pattern #1) = 0.0733922428 x 2000 draws = about 144 occurrences Pattern #14 is a middle pattern with a probability of 0.0270216894. Expected occurrence (pattern #14) = 0.0270216894 x 2000 draws = about 54 occurrences Thus, you can expect pattern #1 to occur almost thrice as much in a draw than pattern #14. Its approximate interval is about 2 times better too. Pattern #32 is one of the worst patterns. Its probability is 0.0088070691. Expected occurrence (pattern #14) = 0.0088070691 x 2000 draws = about 18 occurrences Pattern # 32 can occur 8 times less than Pattern #1. With these choices for Cash, you will rationally settle on Pattern #1. Now let us see the advanced combinatorial patterns for Bank a Million. Pattern #1 is one of the 6 best patterns. With a 0.0527566317 probability value, its expected occurrence is 106 in 2000 draws. Expected occurrence (pattern #1) = 0.0527566317 x 2000 draws = about 106 occurrences Pattern #69 is one of the worst patterns to use. Expected occurrence (pattern #69) = 0.0006565270 x 2000 draws = only once Your choice in our Bank a Million example should be obvious. With pattern #69 to occur only once, it is apparent that Pattern #1 (being the best pattern) will dominate the game. This is what the law of large numbers dictates. The same trend is noticeable also with 5000 draws. Expected occurrence (pattern #1) = 0.0527566317 x 5000 draws = about 264 occurrences Expected occurrence (pattern #69) = 0.0006565270 x 5000 draws = about 3 occurrences The law of large numbers affects the lottery game’s flow and conclusion. With this knowledge, you can go in the direction of the flow. You can reach the destination in a more worthwhile manner through the use of advanced combinatorial analysis. Play solo or with a syndicate Most participants of lotto games are solo players. These are individuals who use their personal budgets to buy tickets. Some of these individual players know that they should buy more tickets to increase their odds of winning. The covering principle is the most logical way of increasing winning chances in lottery games. Remember that every combination has one probability of winning. Therefore, buying more tickets, each with a unique combination, will increase your winning probability. To apply the covering principle, players use lottery wheels to determine the combinations they can use for the game. The full lottery wheel lets players have more combinations to use, but it requires a bigger budget. An abbreviated wheel is cheaper but provides fewer combinations players can use. However, an individual player’s budget can only afford a few tickets. If he wants to buy more tickets, he needs to save more money for his lotto entertainment. Another possible option is to join a lottery syndicate. A lottery syndicate is a group of lotto players who pool their money to purchase as many tickets as possible. A good example is the Australian lotto syndicate, International Lotto Fund, which won a $27 million jackpot from Virginia Lottery. This group, which comprised 2,500 investors, then bought 7 million possible ticket combinations. Of course, this group is a large and international lotto syndicate, so there is no wonder it afforded so many tickets. Thus, joining a syndicate will enable you to have greater covering. Whatever prize your group wins, members will share among themselves. There are syndicates you could join, so know the policies and requirements of that group. You may also create a lotto syndicate with your family member and friends. Make sure you also have a formal agreement among members to avoid misunderstandings later on. Playing solo or as part of a syndicate, the important thing is to buy tickets for combinations with the best ratio of success to failure. If a solo player tries not to waste his money on useless combinations, more so with a syndicate. See the lottery in a new light with an inverse strategy When taking part in lottery games, expect to experience more failures than success. Do not let these failures drag you towards the path of addiction or depression. When you realize you are amassing losses, think about shifting your gaming gears. There is still hope for obtaining great out of a lottery game. An inverse strategy will show you how you can achieve these alternative rewards. The inverse strategy teaches other ways to reap the benefits of lotteries. For years, you have been participating in the lottery as a player. Thus, if you feel you are not making any progress as a ticket buyer, why not consider joining the opposite group, which consists of sellers and retailers. You can offer to buy other people’s lottery tickets so they won’t have to deal with the hassles. Collect a fee for your service. Your earnings could already pay for lottery tickets. This is a good game plan. You earn money while still not giving up on playing the lotto games. A change in your lottery outlook will make you notice that gains could also come from revenues. Speaking of lottery game plan, below are a few more lottery tips to live by. Easy pick, superstitions: do they help win the jackpot? Some people follow superstitions in many things they do, including lottery games. In this news article, a Virginia Lottery spokesperson said that most players use superstitions when they buy lottery tickets. Some mark birth dates on playslips. Others only buy tickets from a store they believe is lucky. There really are a lot of myths and traditions lotto players follow when taking part in games. One superstitious belief is that the number 13 is unlucky. Yet, we have straightened the record that there are no lucky and unlucky numbers in the lottery. The law of large numbers makes sure that as the number of draws increases, each of the balls in the lottery drum will be drawn at almost the same frequency. People often play conveniently by marking the Easy Pick (or Quick Pick or Lucky Pick) option on their playslips. Reading success stories of winners through quick pick options is inspiring. Yet, what are the chances you will also win when you follow the same method? When you mark Easy Pick on the playslip, you entrust the number selection to the lotto machine. The machine then randomly selects your numbers. This is the same as marking just any number that comes to mind. It follows no particular strategy. When playing the lottery, a strategy is crucial. It could be the key to your success or the cause of your failure. There is no guarantee that the combination that the machine will assign to your ticket at least has a good ratio of success or failure. Choosing Easy Pick is giving up on the opportunity to take better control of your winning odds. You buy lottery tickets because you hope to win the jackpot. Therefore, it is only reasonable to use every possible means to bring you near to the goal. The best means is through mathematical analysis, not superstitions, traditions, or myths. It pays to know How to Win the Lottery According to Math. While you may still incorporate the numbers you regard as lucky in your combination, do so appropriately. Make sure that you will stick to the precise composition of balanced numbers in your combination. This will ensure you have the best odds when playing. Serendipity in lottery Serendipity happens when you experience or discover something valuable when you least expect it. You could also call it coincidences when an unusual combination wins the jackpot in a lottery game. There are many success stories of lottery winners that can motivate you to buy your tickets in the same fashion as they did. Yet, is this worth the try? Let’s find out. We have been discussing compositions and patterns of lotto combinations. The table above contains several examples of combinations for a Cash 5 game. The classic example is 1-2-3-4-5. It is a combination with the consecutive order pattern. You could also say that it has an interval of 1 for every number. Now you see examples of non-random combinations in Bank-a-Million. 5-10-15-20-25-30 has an easily noticeable pattern. It also follows a consecutive order of numbers. This time, however, they are consecutive numbers with intervals of 5. Alternatively, a player who marked this on his playslip was probably skip counting by 5. Some players use this consecutive order for their number selection since it is almost effortless to pick numbers in this manner. Maybe they also want a combination they can easily remember when checking the draw results. It could also be because of the numbers’ aesthetic appearance on the playslip that players choose such combinations. There are also combinations whose patterns are not obvious, such as 4-6-9-13-18 in Cash4Life. It is not entirely impossible for any of these combinations to win in the lottery games. For example, Bobby Gray won the top prize of $100,000 from Cash 5 of the Virginia Lottery with his combination 17-21-25-29-32. At first glance, you might not see a pattern, so it falls under not easily noticeable pattern. There is an interval of 4 for the first 4 numbers and an interval of 3 between the last two numbers. This is considerably serendipity in the lottery. Gray probably also did not expect he would win with his combination. The possibility of such rare combinations occurring as winners in the lottery is an incident based on the law of truly large numbers. This law of truly large numbers, LTLN, explains that a sizeable number of events make unusual happenings, coincidences, and rare occurrences happen. Keep in mind that LTLN differs from the law of large numbers we discussed above. The law of large numbers explains that every number in a lottery game will have the same frequency of occurrence when there are large numbers of draws. The focal point is, while rare combinations could win, their ratio of success to failure is very low. In terms of advanced combinatorial patterns, these unusual combinations are the worst patterns to use. They could occur in several draws, but at a very low frequency at that. It is your choice to use them, but would you continue to do so if you know you will only squander your money? Which combination will win next? There is nothing, and no one can predict which numbers will win in the upcoming lottery draws. Claiming that there is, is a sham. Probability is the core of the lottery, and it is something you cannot control. Yet, its random nature and finite characteristic is an avenue worth treading on. It lets you see a better view of how the lottery works. You know that you should buy more tickets to improve your chances. Yet, ensure that the ticket combinations you buy have the best ratio of success to failure. Determine which combinations have the best ratio by applying combinatorics and probability concepts. Of course, this is a taxing process to perform manually. Alternatively, use a lotto number generator for applying these mathematical concepts conveniently. Allow me to remind you earnestly that the best and good combinations are not exactly the next winning numbers. Yet, they are the combinations that have better odds than the others. Play smart, play responsibly You can see on the website of Virginia Lottery that it promotes smart and responsible playing. We also encourage our readers to follow the same practice. Using the important things we discussed above as crucial components of your game plan will help accomplish this. Never think or believe that you can predict the next winning numbers. Despite others saying that they can, please do not believe them. You will only walk on a disastrous path if you follow them. You might only end up chasing what you have lost and unknowingly fall into the depths of gambling addiction. Life is too valuable to waste on such compulsion, so play for fun than on urge. Be a well-informed (if not an intelligent) lotto player. Rather than relying on the luck that the stars or the Easy Pick selection can bring you, follow what the logic of combinatorics and probability dictates. You also have the option to start your own syndicate. Whichever option you chose for playing, remember that you must play for combinations with the best odds of winning. Remember that the lottery has two main sides: buying and selling of tickets. Thus, do not just focus on buying tickets so you will win. Think about the green pasteur that also exists on the other side, especially when you feel hopeless about winning the jackpot. Do not just keep all these in mind. Instead, apply these to your gaming plan so you can spend time and money on Virginia Lottery games in a more productive way. Other gaming entertainment from Virginia lottery Cash 5, Bank-a-Million, Cash4Life, Powerball, and Mega Millions are only some draw games at Virginia Lottery, for which there is a calculator that you can use. Our calculator has no applicable tool for Keno and other draw games (pick 4 and Pick 3). VA Lottery also offers online cash. A player deposits money into his online account, so it eliminates the need to enter card details. The Print ‘n Play is a rolling jackpot instant-win game with a starting jackpot worth $50,000. Buy your ticket, play, and instantly see if you won. There are also scratch cards that VA Lottery offers. Recently, a woman claimed a $2 million jackpot prize for the “Money” scratcher card her husband bought. Related topics to explore:

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