Mathematical secrets and tips for casino games

In every game that requires players to wager on the outcome, experienced gamblers usually evaluate each round's risk based on the mathematical properties of probability, winning chances, expected value, volatility index, play time, and bet size. These variables provide a quantitative representation of risk and let the player know whether a wager is worthwhile.

It is a popular myth that being good at poker indicates that a person is good at controlling their facial features and expressions. The ability to lie about their currently held cards gives poker players an edge and helps them to influence their opponents into throwing the game or betting more money on their own sets of cards. Despite that famous myth, in reality, one could also excel in poker by memorising the deck of 52 cards. By having a clear mental picture of the entire deck of cards and deducing from the cards that are currently in play, an adept poker player could very well estimate identity of the cards that are still left to be chosen from the pile as well as the possibility of the identity of the cards being held in their opponent’s hands. This strategy is known as gaining an edge by recalling which cards have been played in the game.

An alternative strategy to this would be keeping a mental track of the probability of ratio of low value cards to high value cards. This simple trick is usually carried out when one is playing the game of blackjack. Essentially, cards ranging from two to six are valued at one while 7 up until 9 are given a value of zero. Lastly, ten and above will be given a negative one value. As long as the player keeps a mental score during the game along with noting how many card decks are in use, they can easily determine the outcome of the next hand.

With regards to slot machines, there aren't many strategies or smart plays available to increase the odds of winning. However, using maths, a player or casino patron could use the number of combinations available to predict the odds of winning on any given day. A generic three-reel machine with six symbols in play would usually yield 216 chances of winning. Finally, a player would be required to divide the number of winning combinations by the total number of possibilities to estimate their odds of winning. Of course, this figure can be improved by taking into account any daily bonus features that were being offered by the casino for that day or monthly promotion deals.

There are also two popular and commonly used terms when it comes to casino games namely, casino house edge and return to player (RTP). Here, casino patrons need to take note of the likelihood that the casino will take their money in comparison to the expected rewards for them for the day. For example, a casino slot machine has a RTP of 96.5%, this indicates that the casino patron should likely receive MYR 96.5 on every hundred ringgit spent on the slot machines for the day. As for house edge, it is well-known that the more time you spend playing at a casino, the more money you will lose. In formula terms, the increase in time spent playing equals to increased chances of losing. The House Edge is a casino term used to illustrate the mathematical advantage that the gambling venue has over a player over time.

The mathematical concept of variance can also be useful to casino customers to identify if they are participating in a fair game. It would be fair to assume that if a coin is flipped 100 times that half of those flips would result in a heads result and the other half, a tails result. With that being said, it is rare that for every hundred coin flips, the flipper gets a clean split.

By keenly observing the coin tosses, over time, one should be able to detect if a weighted coin is in play. Variance which is a measure of statistical dispersion illustrates how far a trial or experiment's outcome may deviate from the predicted value. Variance enables us to determine whether it would be unexpected if we saw 45 heads out of 100 trials. Since appropriate statistical analysis indicates whether or not a player or casino is being defrauded, understanding this idea is essential for assessing casino gaming results. A study found that there was a 68% probability of the coin toss to end up with a head between 45 to 55 times. This result prove that in every one hundred coin tosses, it is very unlikely that the coin tosser or casino dealer would see an even and equal split between heads and tails results. Casino patrons should always be keenly aware of their limits and not let gambling affect their financial health. With that being mentioned, utilising these mathematic tips and secrets should hopefully improve their odds of winning at casino games and beating the house edge.


Keywords: casino math, math secrets, probability,
Sub Keywords: odds, mathematics tips, mathematics