Consider a roulette wheel consisting of 38 numbers 1 through 36, 0, and double 0. If Smith

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Consider a roulette wheel consisting of 38 numbers 1 through 36, 0, and double 0. If Smith always bets that the outcome will be one of the numbers 1 through 12, what is the probability that

a. Smith will lose his first 5 bets;

b. His first win will occur on his fourth bet?

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