In the bet on a “single number” at roulette, there is chance 1/38 of winning. The bet pays 35 to 1; you can take this to mean that if you win the bet, your net gain is $35, and if you lose the bet then you lose $1 (that is, your net gain is -$1). Suppose you bet repeatedly on a single number; assume that the bets are independent of each other. Find the expected value of your net gain from 38 bets.

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you will expect a net loss of 2 dollars on 38 bets

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