Question

Given that events A and B are independent with P, left parenthesis, A, right parenthesis, equals, 0, point, 4P(A)=0.4 and P, left parenthesis, B, vertical bar, A, right parenthesis, equals, 0, point, 6P(B∣A)=0.6, determine the value of P, left parenthesis, B, right parenthesisP(B), rounding to the nearest thousandth, if necessary.

Answer 1

For independent events, P(B|A) = P(B). So P(B) = 0.6 (or 0.600 rounded to the nearest thousandth).