Let A and B , be two events such that the probability that exactly one of them occurs is 2 5 , and the probability that A or B , occurs is 1 2 , then the probability of both of them occur together is.

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Aicharya · Accepted Answer

P (exactly one) = 2 5 = P A + P B - 2 P A &#8745; B = 2 5 &#160; &#160; . . . 1 P A &#8746; B = 1 2 = P A + P B - P A &#8745; B = 1 2 &#160; &#160; . . . 2 &#8756; P A &#8745; B = 1 2 - 2 5 = 5 - 4 10 = 1 10 .

Let A and B , be two events such that the probability that exactly one of them occurs is 2 5 , and the…

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