![]() ![]() What are the implications of this for the gambler? Straight BetsĪ straight bet is a bet on a single number, and pays \(35 : 1\). ![]() However, the variances differ depending on the bet. All bets, except the five-number basket bet, turn out to have the same expected value (negative, of course). The picture in shows the roulette table and indicates some of the bets we will study. BetsĪs with craps, roulette is a popular casino game because of the rich variety of bets that can be made. Naturally, we assume mathematically that the wheel is fair, so that the random variable \(X\) that gives the slot number of the ball is uniformly distributed over the sample space \(S = \\) for each \(x \in S\). Eventually the ball falls into one of the slots. The wheel is spun and then a small ball is rolled in a groove, in the opposite direction as the motion of the wheel. A typical roulette wheel and table, modified from Wikimedia Commons The strange order of the numbers on the wheel is intended so that high and low numbers, as well as odd and even numbers, tend to alternate. That brought the group’s take, including from. He asked for a half-million in two checks and the rest in cash. The (American) roulette wheel has 38 slots numbered 00, 0, and 1–36. ![]()
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