The probability that at least one of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate .


Given that


probability that at least one of the two events A and B occurs is 0.6 i.e. P(AՍB) = 0.6


& The probability that A and B occur simultaneously is 0.3 i.e. P(AՈB) = 0.3


We know that:


P(AՍB) = P(A)+ P(B) – P(AՈB)


0.6 = P(A)+ P(B) – 0.3


P(A)+ P(B) = 0.6+ 0.3 = 0.9


We have to find


So,






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