Roulette The game of roulette uses a wheelcontaining 38 pockets. Thirty-six pockets are

Chapter 4, Problem 10

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Roulette The game of roulette uses a wheelcontaining 38 pockets. Thirty-six pockets are numbered1, 2, . . . , 36, and the remaining two are marked0 and 00. The wheel is spun, and a pocket is identifiedas the winner. Assume that the observance of anyone pocket is just as likely as any other.a. Identify the simple events in a single spin of theroulette wheel.b. Assign probabilities to the simple events.c. Let A be the event that you observe either a 0 or a00. List the simple events in the event A and findP(A).d. Suppose you placed bets on the numbers 1 through18. What is the probability that one of your numbersis the winner?

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