Mathematical Combinations In The Casino

Stepping into the world of casino gambling is fun. Make sure to get the most out of the chance to explore various games. But, before you begin your journey, you should be aware of something.

There’s gambling mathematics behind most popular casino games.

The Role of Casino Mathematics in the History of Gambling

The most popular casino games we know today have existed for centuries. The same goes for gambling houses known as casinos. These establishments appeared in the 17th century in Italy. The main goal was to provide a controlled gambling environment.

The use of gambling math by gamblers has a long history. The whole field attracted famous mathematicians to debate problems and techniques. For many, the probability field is the most interesting one. One of the classical problems in probability theory is “The problem of points.” Pierre de Fermat and Blaise Pascal discussed it by exchanging letters. It revolves around the game of chance and a way of dividing a stake external circumstances interrupt the game.

Probability and Online Gambling

When entering the online gambling field, it is essential to remember gambling probability. Suppose you’re wondering why the answer is simple. Probability in gambling is the foundation for all games in the casino.

Thumbs Up Finger

In everyday life, probability as a term is used to describe the chance that something will happen. When speaking about casino probability, it shows the likelihood of gamblers winning a hand. It is shown in numbers, from 0 to 100. As you may guess, 0 shows the player doesn’t have a chance to win a hand. The higher the number, the better the chances.

Dice in hand

The term house edge describes the math advantage the casino has over the player. Casinos favor the house. Some games are higher, and others have a lower house advantage. The games with the lowest edge are table poker, video poker, baccarat, craps, and blackjack.

What are the Gambling Algorithms?

Online casinos are an excellent option for those looking for ways to have fun and enjoy gambling. Their popularity keeps increasing.

Players can now access them not only using computers but smartphones as well. In addition, online casinos offer other benefits, including various payment options. Players can make deposits in various ways, including fiat and electronic currencies. For example, the most popular electronic currency today is Bitcoin. This can be seen by checking out available payment modes of the existing venues from the best Canadian bitcoin casino sites review. The ones may even offer special bonuses when using cryptocurrencies.

The reputation of online casinos is pretty strong. The main reason is the fact sites, and developers use gambling algorithms. Thanks to a gambling algorithm, the website, games, and results are fair.

Casinos use RNG – random number generators to make a random sequence. Various games use RNG, and the most common are slots. Each time the player presses the spin option, RNG will create a new series. The series will feature different numbers.

Mathematical combinations in online gambling

Players often think that luck is all that matters. At first glance, it may seem like that. But do probability casino games contain only elements of randomness?

If you take a closer look, most games involve skill and a deeper understanding of probability. It allows you to apply the strategies and concepts and increase your chances of winning.

Keno Game


Keno is a high-payoff casino game. The computer will select 20 out of 80 numbers. To calculate the odds, you need to know more about probabilities. The probability theory shows that a number has a 1 in 4 chance to be on the list of 20 numbers. The basic keno mathematical formula is simple – 20 out of 80 is 25 %.

Bingo Game


Bingo is one of the most engaging games available in many casinos. It differs from other games in terms of odds. The odds vary and depend on the number of cards you have. The simplest way to increase your chances of winning at a casino is by getting more cards.

BlackJack Game


The math basics play a vital role in Blackjack. The entire game is based on card value. The main goal is to come as close to 21, but not exceed it. It all comes down to calculating the values of cards in your head. The closer you are to 21, the possibility of winning is higher.

Slot Machine

There is no in-game strategy you can use to increase the winning chances when it comes to slots. Still, you can get the number of possible combinations on any machine. You get the number of combinations with slot machine math.

  • To calculate the combinations, multiply the slot’s total number of symbols.
  • If a three-reel slot has six symbols, there are 216 combinations (6 x 6 x 6)
  • If a three-reel slot has 20 symbols, there are 8,000 combinations (20 x 20 x 20).
  • You can use slot machine probability mathematics to calculate the winning odds.
  • Divide the number of winning combinations with possible combinations.


Roulette is one of the most popular games in online casinos. There are many variants of the game. European roulette contains 37 possibilities. The American version has 38 because it includes 00. Some facts come out of roulette maths:

  • All bets have the same house edge.
  • The game variants come with a single or double 0 wheel. Choosing other options, such as triple zero roulette, increases the house edge.
  • House edge is always there. Betting on minimum amounts could be the wisest option. However some scientists beat the house thanks to Chaos Theory.
Baccarat Game


When playing baccarat, it is crucial to understand the rules and types of bets. There are three bet types, banker, player, and tie bet. The first one has a pretty low house edge of only 1.06 %. The player bet has a higher house edge of 1.24%. Going for a tie is not wise as it comes with a house edge of 14.36 %.

Poker Game


Poker is one of the most popular casino games. You’ll pretty much notice math in every aspect of the game. Using math in poker is something pretty standard. It works in various situations, including drawing hands and expected value.

Craps Game


Craps seem pretty complicated, but in reality, it is simple. The game uses two dice, each one with six sides. It means there are 36 possible combinations. The lowest total is two, and the highest one is 12. When speaking of 2, it can show up only with two 1s. Getting four is possible with two 2s, or three and one. It means the possibility of getting 4 is higher than getting 2. Some numbers have higher chances than others.

Sports betting mathematical formulas

Math is present in online casinos. But, the mathematics of sports betting is also a thing.

Sports wagering can be based on math. Specific systems show significant results. The most popular strategies are the 60% profit wagering strategy, The Maria Staking Plan, and Martingale Strategy.

Sports betting mathematical formulas require research. Players should explore all the systems before deciding which one to try.

Math in casino games

Chances of winning at a casino

There are many things that can lead to the best chance of winning at the casino. Implementing mathematics is a way to go. Understanding probability in games is another option. It will help you to improve casino odds. Exploring gambling statistics, learning, and upgrading the knowledge takes the casino skills to a whole new level. 


How to win at gambling?

You can increase your chances by implementing various strategies and mathematics. However, keep in mind that you can’t win every time.

How to calculate the probability of an event in an online casino?

Calculating the probability of an event is very simple. You can do that by dividing one by the number of possible events.

What is the probability of winning in card games?

There are many card games out there, and the probability of winning is not the same for every game. It differs and depends on the type of game, the number of decks, the number of cards, and many other factors.