Question

Given that events A and B are independent with P(A)=0.3 and P(B∣A)=0.52, determine the value of P(B), rounding to the nearest thousandth, if necessary.

Answer 1

If A and B are independent then P(B|A) = P(B). Given P(B|A) = 0.52, therefore P(B) = 0.52 (or 0.520 to the nearest thousandth).