Question

Given that events A and B are independent with P, left parenthesis, A, right parenthesis, equals, 0, point, 0, 6P(A)=0.06 and P, left parenthesis, A, and , B, right parenthesis, equals, 0, point, 0, 1, 8P(A and B)=0.018, determine the value of P, left parenthesis, B, right parenthesisP(B), rounding to the nearest thousandth, if necessary.

Answer 1

For independent events, P(A and B) = P(A)P(B). So

P(B) = P(A and B) / P(A) = 0.018 / 0.06 = 0.300.

Thus P(B) = 0.300 (or 0.3).