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

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Two boys A and B throw a ball at a target. Suppose that the probability that boy

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