American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets. Thirty-six of the pockets are numbered 1−36, of which half are red and half are black. Two of the pockets are green and are numbered 0 and 00 (see figure). The dealer spins the wheel and a small ball in opposite directions. As the ball slows to a stop, it has an equal probability of landing in any of the numbered pockets. (a) Find the probability of landing in the number 00 pocket. (b) Find the probability of landing in a black pocket. (c) Find the probability of landing in a green pocket or a red pocket.
American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets. Thirty-six of the pockets are numbered 1−36, of which half are red and half are black. Two of the pockets are green and are numbered 0 and 00 (see figure). The dealer spins the wheel and a small ball in opposite directions. As the ball slows to a stop, it has an equal probability of landing in any of the numbered pockets. (a) Find the probability of landing in the number 00 pocket. (b) Find the probability of landing in a black pocket. (c) Find the probability of landing in a green pocket or a red pocket.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 61E: Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38...
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American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets. Thirty-six of the pockets are numbered 1−36, of which half are red and half are black. Two of the pockets are green and are numbered 0 and 00 (see figure). The dealer spins the wheel and a small ball in opposite directions. As the ball slows to a stop, it has an equal probability of landing in any of the numbered pockets.
(a) Find the probability of landing in the number 00 pocket.
(b) Find the probability of landing in a black pocket.
(c) Find the probability of landing in a green pocket or a red pocket.
(d) Find the probability of landing in the number 22 pocket on two consecutive spins.
(e) Find the probability of landing in a red pocket on three consecutive spins.
(b) Find the probability of landing in a black pocket.
(c) Find the probability of landing in a green pocket or a red pocket.
(d) Find the probability of landing in the number 22 pocket on two consecutive spins.
(e) Find the probability of landing in a red pocket on three consecutive spins.
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