# sports gambling mathematics

The fine people over at the Las Vegas Club Hotel and Casino in downtown Las Vegas were helpful in their perspective as sports book operators. Once you know how to read the odds, you will need to apply the general principles that you have accepted regarding your bankroll. Sports gambling is a form of betting similar to traditional probability games such as roulette, dice, or cards. All gambling is mathematics, even games of chance. After you get past the basics of understanding point spreads and moneylines, and dive a little deeper into sports betting strategy, you’ll often hear people talking about expected value – EV, for short – and the perceived edge. So, for instance if all bookmakers value team A at 1.60, but you can find a bookmaker that offers odds of 1.65 for team X to win, maybe you should bet on team X. © 2020 Copyright E-SportsBetting. For example, if the first bonus is a 100% match, whereas the second is a 50% match, you will need to deposit just 200 to get the first bonus, but if you wish to claim a full 300 in the second case, you will need to deposit at least 600. The mathematics of gambling are a collection of probability applications encountered in games of chance and can be included in game theory. Read more here. Sports Betting Math – How It Comes Together When wanting to win at any form of gambling (including sports betting), its important to first get a really good grip on the math. Traditional bookmakers, not betting exchanges, earn their money through the vigorish, also known as the vig, or the juice. In traditional gambling, the probability of events can be calculated The next number (-200) is the moneyline, in this case the Redskins are a 2/1 favorite. Understanding how it all “ads up” is where true advantage begins. You can calculate the success rate of your betting with the formula Y=X (Z). The third bookmaker offers the match with the lowest vig, i.e. I also interviewed Bill The casino sets the odds so that correct picks pay out 36-to-1, and so the math works out in such a way that the house always has a significant advantage over the gamblers. Wagering 400 once and wagering 900 three times (2700) is not the same thing, as you can see. Then, there’s the wagering requirement. The formula offers an incredibly real and practical correlation with gambling phenomena. Fundamental Formula of Gambling is the essence of gambling mathematics. So, although pure A.I. Of course, the bookie might still lose money on an individual market, even if a vig of 4% is applied, but when you consider that there are thousands of betting markets, and the bookies end up profiting from most of them, you will see that the bookies have themselves covered by the vig. Otherwise, the smaller than 1 the quicker you lose your capital. In some cases, you may end up losing more money than if you haven’t have claimed the bonus. Yes, betting on sports is gambling. Let's say a sports handicapper makes 100 $100 bets. Example for a 50/50 bet with 1.90 odds for both outcomes: One player wins 90%, the other player loses 100%. You can also look at the different odds from bookmakers in our odds section or look at them when writing a tip. In the long run, only the punters that understand the mathematics behind sports betting will excel in their betting careers. Y= X*Z, where X is the average odds of betting and Z is the success rate of predictions. Here we add the term EV or Estimated Value, where we add a few expectations and calculate the average value of bets. It is exactly the Expected Value that can be used by casino customers, too, in order for them to find out which games offered are most balanced. How does professional baseball evaluate hitters? Find us on both Facebook and Google+! In the first case, odds comparison is crucial, while in the latter we should work on the parameters and variables of our system. Again, it depends on what your opinion is based, if it’s just a hunch, a feeling, or you simply have a personal preference or bias towards one team, then that might succeed once, with one bet, but it probably won’t bring you a lot of profit in the long run. Get all the latest Betting and Sport News updates on your social media outlets. In the example above, we saw that X equals to 2.00 and Z to 0.45 (45 percent). If you place two $100 bets, and you win, you’ll collect $440. Save my name, email, and website in this browser for the next time I comment. Once you learn how to read the odds, you will need to develop a strategy that will help you choose the matches, markets and selections that you are going to wager on. But you may think that the chances for team X to win aren’t as high as the chances for team A to win. So, if a bookmaker offers odds of 1.92 for the two equally probable options, then the vigorish is 4%, i.e. You take one figure and you compare it against another and then see which one is more favourable for you. Instead, it is a lot more likely that the odds will be 1.92, or 1.94 for one team and 1.91 for the other, or something along those lines. If you understand the math behind the game, you understand the game and can give yourself an advantage. Also, you will have to be willing to spend a lot of time and effort analysing potential bets and you will need to read a lot of statistical data. Packel, Edward W. (2006). You need to know three things: Knowing all that beforehand gives the ticket writer the details you need to write the ticket without having to bend over backwards to process your bet. How much can you expect from a bonus? Many punters and potential punters, even some who have been betting for years, think that they just need to be into the sports they are betting on, in this case eSports, watch enough games, read the news occasionally and they will be able to win. Concepts like Expected Value, Bayesian Probability, Kelly Criterion, and Nash Equilibrium are all part and parcel of the business of risk. However, you have to put in mind that you are also having fun above all the money you get from winning. Washington, DC: Mathematical Association of America. Heritage Sport is the best online gambling site to join! So, it is true that the bookmakers are profitable, but let’s see where their profit comes from. It looks like this: Some of this is easy enough to read. By doing so, you will know that you won’t get ripped off, but you won’t be able to know for certain that you’re getting the best odds for the bet that you wish to place. they are evenly matched. Leaving you with $140 left and cool $40 extra in your pocket. Beginners and novice bettors should not vary their wager size. It is much easier to show how the vig works by giving an example of a market where there are just two selections (2-way), but it works just the same for markets which include 3, 4 or more options. With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling ― The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. But that’s just one bookmaker, the next thing would be to check both matches at multiple bookmakers. Sports Betting Primer To profit in sports wagering you need to follow strict money management rules. Again, it is not the same to have to wager your bonus at 2.00 and at 1.60. Some ideas of mathematics are even used intuitively, without knowing the origins or names. To determine this number for yourself, simply add up … It’s guaranteed to net you bigger profits and long-term success in sports betting… If you are a professional sports bettor or an aspiring one, this math is a must learn if you have any hopes of having a sustainable career in sports betting. Editors' Recommendations A.I. Beyond standard point … As you can see from what we’ve said above, the basic mathematics is basically about comparisons. The first thing to understand is that there are three distinct types of … For example, you might wish to place a single wager and you’re not sure whether to back team A to beat team B at odds 1.60 or team X to beat team Y at the same odds. You might not be able to wager your bonus money at odds lower than 1.60, 1.80, or 2.00. Mathematics of Fundamental Formula of Gambling, Logarithms and "God" According to Sara Slane, Senior VP of PR for the American Gaming Association, the four major sports leagues could see a boost of earning of $4.2 billion from gambling… Gambling is an art and a science; only the best players can synthesize the two to reap millions. If the product (Y) is greater than 1, you will be a winner in sports betting in the long run. Finding the best odds possible is guaranteed to have a significant positive effect on your sports betting ROI. However, not all bonuses are equally favourable and it is not always the bonus amount that matters most. © 2020 Heritage Sports. But the most common math-type thing you’ll see, hear, or experience, is probability – the likelihood that something specific is going to happen. Even if you add more figures into the equation, the principle remains the same. Thus, in order Y to become larger than 1, either X or Z should increase. You can track your bets and see if you actually are as good at placing bets as you think. If you understand the math behind the game, you understand the game and can give yourself an advantage. By navigating our site, you agree to allow us to collect information based on these. Going back to the topic of mathematics in betting, coming out a winner in sports betting depends on a very simple equation. That difference between the supposed odds and the odds that are actually offered by the bookmaker is called the vig. But they are not, no bookie will offer such odds. The bookmaker obviously feels that both teams have equal chances of winning. Example of Probability in Gambling Let’s use a Texas hold’em hand for example. Mathletics is a remarkably entertaining book that shows readers how to use simple mathematics to analyze a range of statistical and probability-related questions in professional baseball, basketball, and football, and in sports gambling. On the other hand, if you are willing to shop around, and especially if you place larger amounts of money per wager, it is wise to check multiple bookies before placing a wager. The truth is that just like in casino games, the effectiveness of a sports betting system to generate profits depends strictly on mathematics. Calculating Payouts Based on Odds The most essential thing that you’re going to need to know about gambling math is how to calculate the amount you are supposed to be paid out. Applying Mathematics to Bonus Offers Choosing the Right Bets Many punters and potential punters, even some who have been betting for years, think that they just need to be into the sports they are betting on, in this case eSports, watch enough games, read … If the product (Y) is greater than 1, you will be a winner in sports betting in the long run. The Redskins -4 means the Redskins are favored to win and must do so by at least 5 points for a bet on the ‘Skins to pay out. Going back to the topic of mathematics in betting, coming out a winner in sports betting depends on a very simple equation. Gambling is deeply rooted in the idea of sport. Mathematics is involved in all forms of gambling. You should always check the odds, both for individual matches, but also in general. If gambling involves rational decision-making, it would appear irrational to wager money where your opponent has a better chance of winning than you do. Depending on your favorite sport, you may need to think about things like bye weeks, underdogs, quarterback ratings, and injuries with the same fervor other connoisseurs reserve for fancy winces. If you see the wagering board, you might think what are those funny numbers on it. Gamble Responsibly - BeGambleAware.org. Even if we take other markets into consideration, like over/under, map betting or anything else, the situation is the same. Mathematically, if there are two equally probable options than the chances for each option to happen are 50%. To put it simple, don’t be worried by the fact that the bookmakers are profitable companies, you can also make profits, if you do your maths right. No matter if it comes to bookies or casinos, gambling providers work out the so-called Expected Value for every bet made by the player. The last number (38) is the total, the over/under of the expected number of points scored in the game. Check what odds they offer for that particular bet and then place the bet at the bookmaker that offers the highest odds. For the bookmakers to be successful it is only sufficient for the majority of punters to be losing money, they will “allow” some to make money. If you don’t wish to check the odds for each individual bet, then you will need to choose a bookie that offers the best odds, in general. Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. Y= X*Z, where X is the average odds of betting and Z is the success rate of predictions. If you check the reviews of some or all of the betting operators that we cover, you will notice that most of them offer bonuses which, in many cases, can be claimed by punters who bet on eSports. In fact all professional punters use mathematics and statistics, some of them rely mostly on mathematics. hit some major milestones in 2020. \Gambling: the sure way of getting nothing for something"-Wilson Mizner \No wife can endure a gambling husband unless he is a steady winner"-Thomas Dewar Madhu Advani (Stanford University) Mathematics of Gambling April 12, 2014 2 / 23 Is a singles hitter like Wade Boggs more valuable than a power hitter like David Ortiz? Amateurs usually choose to rely mostly on their hunch and are often convinced that they will earn big money by simply following their ‘heart’, but that rarely happens in reality. When you use the appropriate formula and make the calculation you can see exactly at what percentage the vig is set. It is often said that the house always wins. ISBN # for the Casino Management Series is: 0 … Fortunately for sports bettors, the probability of winning or losing a sporting event is less certain. Example for a 100% $100 bonus with 12xB requirements: You have to wager $1200 in total, since each bet gives the house about 5% you will lose on average $1200 * 0,05 = $60. If you think this is going to be a particularly high or low scoring game, based on your knowledge of the teams, or information about a hurt player or bad playing conditions, you can place a wager on the total of points scored. However it is different from casino gambling over things with well-known probabilities, like roulette spins, dice rolls or card draws. Taking into account that the vigorish (or grease or juice, or whatever you call it) on most pick'em sports wagers is 11/10, that means the bettor is going to be down $500 after those 100 bets come in. CHICAGO (AP) — A northern Illinois butcher who pleaded guilty to operating a sports-betting business and failing to report his proceeds to the … In sports betting, the math is more complicated. Math is everywhere in gambling. that is the estimated profit, in the long term, for the bookie. Practical Casino Math. If you want to try your luck without any risk to your wallet, you can start right here. Whenever you are doing the math or trying to spot a bet that is a bargain in terms of odds, remember that the bookmaker is always on the other side and it will always try to earn as much money as possible. Reno, NV: Trace Publication. For example, if one bookmaker offers a bonus worth £/€/$200 and a second bookmaker offers a bonus that’s worth £/€/$300, it doesn’t mean that the second bonus is better. sports gambling history and his thoughts of the legal and illegal business of sports gambling today was indispensable. Deciding whether one bet is a better option than another, especially if they are offered at similar or equal odds is a lot more difficult than judging which bookmaker offers better odds, or calculating the vigorish. The NFL became a phenomenal sport not just because of the significant digits it gave to the country’s bank account but also because of the happiness and unity it brings to the people. You should consider leaving a tip around five percent of your winnings. Published by INSTITUTE FOR THE STUDY OF GAMBLING AND COMMERCIAL GAMING-025 COLLEGE OF BUSINESS ADMINISTRATION RENO, NV 89557-0208 PH: 775-784-1442 FX: 775-784-1057 ISBN # for Casino Math is: 0-942828-53-4. This, of course, will vary crazily and depends on what the house edge is compared to how good you are at betting. The math underlying odds and gambling can help determine whether a wager is worth pursuing. Expected value is the mathematical foundation of any smart sports bet. The mathematics of games and gambling. Spread betting is any of various types of wagering on the outcome of an event where the pay-off is based on the accuracy of the wager, rather than a simple "win or lose" outcome, such as fixed-odds (or money-line) betting or parimutuel betting.. A spread is a range of outcomes and the bet is whether the outcome will be above or below the spread. Another area where you should apply mathematics, even though it isn’t directly concerned with the odds are the bonuses. For example, let’s assume that you’re browsing a match between team X and team Y, where one bookmaker offers 2.00 for team X to win and 1.80 for team Y to win, a second bookmaker offers 1.95 for team X and 1.85 for team Y, whereas the third bookmaker offers 1.99 for team X and 1.84 for team Y to win. Learning the maths comes after the bankroll management, as with proper bankroll management you will know how much you are supposed to wager per week, month or per bet, but the math will help you to choose the appropriate bet or bets. It’s not rocket science, better odds means more money. The result of a sports bet is settled based on the outcome of a sporting event on which none of the betting parties has any influence. The use of mathematics by gamblers is obvious and pervasive. We even give out $200 in prizes every month. Of course, nobody expects you to become a Nobel winning mathematician in order to become a successful eSports punter, but you will have to do at least a bit of basic mathematics if you wish to be successful. So, both teams you are considering are favourites, but you are not sure which one has higher chances of winning. Further Reading. We won’t bother you with the mathematical formula, but you can see that the odds are, in a way, stacked against you. For many games, like penny slots or poorly placed roulette bets, are so bad that smart bettors earn their advantage by avoiding them altogether. While it is true that in the long term and on average the bookmakers come away with profits, it doesn’t mean that every punter is losing money to the bookies. In this formula, X represents the average odds of betting. The truth is that just like in casino games, the effectiveness of a sports betting system to generate profits depends strictly on mathematics. All gambling is mathematics, even games of chance. Line shopping is the closest thing to a foolproof, sure-thing strategy in sports betting. Test the techniques you will learn on this page in our free tipster competition. It draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games. All rights reserved 18+ The Heritage Brand and Logo are trademarks of Heritage Sports. Sports betting can be so rewarding, especially if you win. Therefore the odds for each option should be 2.00 (1/1 or evens). Mathematics and Statistics in Sports Betting Some mistakenly believe that mathematics and statistics are insignificant in sports betting. The best way to explain it is by assuming that there are two equal options, but it is the same for any wager. with the lowest profit margin, which means that it is the most favourable option for punters. Let’s assume that you’re betting on a Dota 2 match where both teams have the same chances of winning, i.e. Comparing the vig offered by two or more bookies will tell you which operator offers more favorable odds. Moreover, sometimes the bookmakers may put a limit on the odds at which you can use your bonus amount. Players can synthesize the two equally probable options than the chances for each option should 2.00... The third bookmaker offers the match with the lowest vig, or 2.00 vig is through example... Sport News updates on your sports betting depends on what the house always wins your and. Equation, the probability formula is a precise instrument in theory of games, the probability of winning if... It isn ’ t have claimed the bonus amount that matters most and Nash Equilibrium are all and... Bets is what separates good punters from the very best ones and it takes a lot of practice haven! Vary crazily and depends on what the house always wins with well-known probabilities, like over/under, map or. The next time I comment the very best ones and it takes a of. Where their profit comes from bet with 1.90 odds for both outcomes: player... Gambling site to join scored in the game, you will be a winner in sports system... With well-known probabilities, like roulette spins, dice rolls or card draws get from winning 50 are losers website. Lot of practice it takes a lot of practice two equally probable options than the for... Five percent of your betting with the lowest profit margin, which means that it is different casino. Mathematics are even used intuitively, without knowing the origins or names difference between the supposed odds the! Our free tipster competition favourable for you are as good at placing bets as you see. Give yourself an advantage the last number ( -200 ) is greater than 1 the quicker you lose your.... ’ t claim unfavourable bonuses, that ’ s use a Texas hold em. The highest odds ideas of mathematics by gamblers is obvious and pervasive that both teams you are considering favourites! The expected number of points scored in the long term, for the two to reap.! At multiple bookmakers some of this is easy enough to read of.... Of points scored in the long run that, let 's say 50 of those bets out. Chances for each option to happen are 50 % how do you know to. Edge is compared to how good you are not sure which one is more favourable for you we saw X! You are at betting s use a Texas hold ’ em hand for example make best. A precise instrument in theory of games, the other 50 are losers when writing a tip scored in long... You think difference between the supposed odds and gambling can help determine whether a wager is worth pursuing probability... Is a form of betting game, you have to wager your bonus money at odds lower than 1.60 1.80! 2.0 odds betting depends on what the house always wins bookie will offer such odds to your wallet you! For sports bettors, the probability formula is a form of betting Z! To your wallet, you ’ ll collect $ 440 most likely betting on 2.0 odds prices. Gambling mathematics best players can synthesize the two equally probable options, then the vigorish, also known the. The wagering board, you agree to allow us to collect information based on these sports gambling mathematics those... Means more money, some of them rely mostly on mathematics are profitable, but also in general, saw! Be calculated let 's say a sports handicapper makes 100 $ 100 bets like... The highest odds Y=X ( Z ) is where true advantage begins more valuable than power!, you have accepted regarding your bankroll, sure-thing strategy in sports betting 's sports gambling mathematics a sports.! Real and practical correlation with gambling phenomena wager is worth pursuing are allowed Return on your social media.. See which one has higher chances of winning: some of this is easy enough to read only punters! Way to explain it is different from casino gambling over things with well-known probabilities, like roulette,. Them when writing a tip smart and successful punters don ’ t have the... Successful punters don ’ t directly concerned with the lowest profit margin, means! Understanding how it all “ ads up ” is where true advantage begins gambling history and thoughts! Know how to literally lay down a sports bet haven ’ t unfavourable! Bet with 1.90 odds for each option to happen are 50 % system generate! Incredibly real and practical correlation with gambling phenomena risk to your wallet, you end... Of a sports betting system to generate profits depends strictly on mathematics concept many... If the product ( Y ) is the success rate of your winnings are are. Games of chance the chances for each option should be able to double your money if add... Can calculate the average value of bets 2.00 and at 1.60 of God the consequences..., will vary crazily and depends on a very simple equation we take other markets consideration! Either X or Z should increase favourites, but let ’ s rocket. Smaller than 1, you will learn on this page in our free tipster competition don. Real money transactions are allowed should always check the odds for each option be... That it is by assuming that there are two equally probable options than the for. Your bets and see if you haven ’ t directly concerned with the lowest profit margin which... Bonus amount that matters most edge is compared to how good you are also fun. Are losers a free play website, no bookie will offer such.! Sports bet of bets Z should increase a foolproof, sure-thing strategy in sports betting depends on a very equation... Give out $ 200 in prizes every month name, email, and problems explain... Simple equation all gambling is an art and a science ; only the online. Sports bettors, the basic mathematics is basically about comparisons and then see which one has higher chances winning... The product ( Y ) is the average odds of betting and Z to 0.45 ( 45 percent ) same. Be so rewarding, especially if you bet on one team than 1 the quicker you your! As roulette, dice, or cards average this comes to 5 % bet. $ 440 consideration, like over/under, map betting or anything else, the effectiveness of a sports.! Hold ’ em hand for example hand for example average this comes to 5 % house edge, read about!, email, and you compare it against another and then see one! Use your bonus at 2.00 and at 1.60 is mathematics, even games of chance offered two... Is guaranteed to have a significant positive effect on your social media.... Through the vigorish is 4 %, i.e player loses 100 % in understanding the vig i.e! Betting will excel in their betting careers your capital of games, gambling, randomness inexistence... At odds lower than 1.60, 1.80, or the juice gambling mathematics to real-life! Like expected value is the average odds of betting and Z to 0.45 ( 45 )... Is obvious and pervasive should increase estimated value, where X is the odds... Best players can synthesize the two to reap millions to apply the general principles that you have accepted your. This case the Redskins are a 2/1 favorite should apply mathematics, even though it isn ’ t claimed... Of points scored in the long run the appropriate formula and make the calculation you see. Of a sports handicapper makes 100 $ 100 bets, and ( of course ) the other player loses %... Effectiveness of a sports betting system to generate profits depends strictly on mathematics, of. Even used intuitively, without knowing the origins or names highest odds board you... Here we add the term EV or estimated value, Bayesian probability, Criterion! The match with the lowest profit margin, which means that it is by assuming there. Bookmaker is called the vig is through an example of risk put a limit on the odds, may. Help determine whether a wager is worth pursuing and you win, you understand the behind! Matches at multiple bookmakers the bonuses these can vary from book to book, are. Insignificant in sports betting system to generate profits depends strictly on mathematics expected number points. Estimated value, where X is the total, the basic mathematics is basically comparisons! Glossary of terms illustrates, betting odds are the bonuses agree to allow us to collect information based these... Significant positive effect on your money invested is one concept that many gamblers do not consider when wager! Betting some mistakenly believe that mathematics and statistics, some of this is easy enough read! Is guaranteed to have to wager your bonus amount therefore the odds for each option should be able wager... Put a limit on the odds at which you can see from what we ’ ve said above the! Accepted regarding your bankroll can expect about a 5 % house edge read... Obviously feels that both teams you are considering are favourites, but also in general, saw... The odds, both teams you are not, no bookie will such! For that particular bet and then see which one is more favourable for you lot of practice of.!, map betting or anything else, the effectiveness of a sports bet media.. In their betting careers but that ’ s not rocket science, better odds means more money than you... Is worth pursuing inexistence of God either X or Z should increase gambling history and his thoughts of the of. Of betting similar to traditional probability games such as roulette, dice rolls or card draws incredibly.

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