Two boys A and B throw a ball at a target. Suppose that the probability that boy
ID: 3151798 • Letter: T
Question
Two boys A and B throw a ball at a target. Suppose that the probability that boy A will hit the target on any throw is 1/3 and the probability that boy B will hit the target on any throwis1/4. Suppose also that boyAthrows f irst and the two boys take turns throwing. Determine the probability that the target will be hit for the first time on the third throw of boy A. Two boys A and B throw a ball at a target. Suppose that the probability that boy A will hit the target on any throw is 1/3 and the probability that boy B will hit the target on any throwis1/4. Suppose also that boyAthrows f irst and the two boys take turns throwing. Determine the probability that the target will be hit for the first time on the third throw of boy A.Explanation / Answer
Probability that the target will be hit for the first time on the third throw of boy A.
Prob = 1/3 * (1 - 1/3) ^3-1 = 0.1481