Question

Given that events A and B are independent with P, left parenthesis, A, right parenthesis, equals, 0, point, 3, 4P(A)=0.34 and P, left parenthesis, B, right parenthesis, equals, 0, point, 7, 5P(B)=0.75, determine the value of P, left parenthesis, A, vertical bar, B, right parenthesisP(A∣B), rounding to the nearest thousandth, if necessary.

Answer 1

For independent events, P(A|B) = P(A). So P(A|B) = 0.34 (or 0.340 to the nearest thousandth).