Two players A and B shoot at a target independently. The probability that A hits it is 3/5 and that B hits it is 2/3. What is the probability that exactly one of the two hits the target?

Question

Accepted Answer

7/15. Exactly one hit = (A hits and B misses) + (A misses and B hits) = (3/5)(1/3) + (2/5)(2/3) = 3/15 + 4/15 = 7/15. The value 13/15 is the probability of at least one hit and 2/5 that of both hitting.

Two players A and B shoot at a target independently. The probability that A hits it is 3/5 and that B hits it is 2/3. What is the probability that exactly one of the two hits the target?

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