Two boys A and B throw a ball at a target. Suppose that the probability that...
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 throw is 1/4. Suppose also that boy A throws first and the two boys take turns throwing.Determine the probability that boy A will hit the target before boy B does
Homework Answers
Required probability = P(boy A will hit the target before boy B does)
= P(A hits the target in 1st throw)
+ P(A does not hits the target in 1st throw).P(B does not hit the target in 2nd throw).P(A hits the target in 3rd throw)
+ P(A does not hits the target in 1st throw).P(B does not hit the target in 2nd throw).P(A does not hits the target in 3rd throw).P(B does not hit the target in 4th throw).P(A hits the target in 5th throw)
+ ..........
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