Question

Given that events A and B are independent with P, left parenthesis, A, right parenthesis, equals, 0, point, 7, 5P(A)=0.75 and P, left parenthesis, B, right parenthesis, equals, 0, point, 3, 6P(B)=0.36, determine the value of P, left parenthesis, A, and , B, right parenthesisP(A and B), rounding to the nearest thousandth, if necessary.

Answer 1

For independent events, P(A and B) = P(A)P(B) = 0.75 × 0.36 = 0.270.