All casino games are rtleaed to probability. Roulette is a classic example. There are two types of Roulette wheel; American and European. An American Roulette wheel has 38 sections the ball can land in. The numbers 1-36, 0, and 00. A European Roulette wheel is identical except it does not have a 00 section. The rest of my discussion will assume a European Roulette wheel for simplicity, however the ideas can easily be carried across to American Roulette. In European Roulette, players can place numerous different bets on each spin. They can bet on an even or odd number coming up, a low (1-18) or high (19-36) number, an individual number, or many other things. For full details please see Roulette in Wikipedia. Each bet a player can make has certain odds of occuring. For example, if a player bets on a 34 coming up, he/she will have a 1 in 37 chance of being correct. The casino, however, only pays 36 times the amount bet. The casino pays an amount such that the expected return of the best is less than 100%. So if a player bets $1 on number 34, for 37 times in a row and won once (as mathematically expected), he/she will actually lose 1 dollar. This is called an expected loss and it is how casinos make money. Similarly if someone bets on evens’. The zero section is not counted as evens so the probability of winning is 18/37 which is less than half. The casino only pays out $2 per a dollar bet so again on average the player loses. There are many other bets one can place in Roulette, however in each case, the expected payout is less than the amount bet. For more details of Roulette, betting probabilities and payouts, see Roulette in Wikipedia.

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