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,