SOLUTION: A roulette wheel has 38 pockets numbered 0,00,and 1 to 36. the slots 0 and 00 and 1 through 36. Of all 38 pockets 18 are red, 18 are black and 2 are green. Each time the wheel is s

Algebra ->  Probability-and-statistics -> SOLUTION: A roulette wheel has 38 pockets numbered 0,00,and 1 to 36. the slots 0 and 00 and 1 through 36. Of all 38 pockets 18 are red, 18 are black and 2 are green. Each time the wheel is s      Log On


   

Question 1025219: A roulette wheel has 38 pockets numbered 0,00,and 1 to 36. the slots 0 and 00 and 1 through 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?
I am having trouble setting up the problem, or if I am even doing the problem correctly.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The probability of the event that the ball lands in the SAME color pocket is .
The complement of the event above is the event that the ball lands in a different color pocket in both spins, and so its probability is given by 1+-+163%2F361+=+highlight%28198%2F361%29.