SOLUTION: Two boys, John and Peter, attempt independently to solve a problem. The probability of John solving it is 0.8 and the probability of Peter solving it is 0.75. Find the probability

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Question 831140: Two boys, John and Peter, attempt independently to solve a problem. The probability of John solving it is 0.8 and the probability of Peter solving it is 0.75. Find the probability that only one of them will be able to solve it.
Answer by vaibhavaggarwal29(6) (Show Source):
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Two boys, John and Peter, attempt independently to solve a problem. The probability of John solving it is 0.8 and the probability of Peter solving it is 0.75. Find the probability that only one of them will be able to solve it.
Solution :
P(John Solving ) = 0.8
P(John not solving) = 0.2
P(Peter Solving) = 0.75
P(Peter not Solving) = 0.25
P(only one can solve) = 0.8*0.25 + 0.75*0.2
= 0.35 Answer