Question

Given that events A and B are independent with P, left parenthesis, A, right parenthesis, equals, 0, point, 1P(A)=0.1 and P, left parenthesis, B, vertical bar, A, right parenthesis, equals, 0, point, 4, 1P(B∣A)=0.41, determine the value of P, left parenthesis, B, right parenthesisP(B), rounding to the nearest thousandth, if necessary.

Answer 1

If A and B are independent, P(B|A) = P(B). Given P(B|A) = 0.41, therefore P(B) = 0.41 (or 0.410 rounded to the nearest thousandth).