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A roulette wheel has 38 pockets numbered 0,00,and 1 to 36. Of all 38 pockets 18 are red, 18 are black and 2 are green. Each time the wheel is spun, a ball lands in one of the pockets, and each pocket is equally likely.Question: If you spin the wheel twice, what is the probability that the ball lands in a diffrent color pocket in both spins?

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Answer:

P(R) = (18/38)

P(G) = (2/38)

P(B) = (18/38)

Explanation:

Each spin is independent of the others, so the probabilities of the three possible outcomes (R,G,B) for each spin are:

P(R) = (18/38)

P(G) = (2/38)

P(B) = (18/38)

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