Find PB Give your answer correct to two decimal places A and

Find P(B). (Give your answer correct to two decimal places.) A and B are independent events, P(A) = 0.57 and P(A and B) = 0.25

Solution

Given that A and B are independent.

If A and B are independent, then P(AB) = P(A)P(B)

Hence substitute for these

0.25 = 0.57P(B)

Hence P(B) = 0.25/0.57 = 0.4386

= 0.44