# Statistics

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An American style roulette wheel has individual compartments for the numbers 1 to 36, plus 0 and 00. If the payoff for a single-number bet is 35:1, what is the expected value of the winnings on any single-number bet?

• Statistics -

Only if you win. The expected value (average return) is 35/38 of the bet.

• Statistics -

I assumed that zero is not a bettable number (for the 35:1 payoff), so that there are only 36 possible winning numbers out of 38. The probability of a particular number from 1 to 36 is 1/38.

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