Question

Given that events A and B are independent with P, left parenthesis, A, right parenthesis, equals, 0, point, 9P(A)=0.9 and P, left parenthesis, B, right parenthesis, equals, 0, point, 4, 9P(B)=0.49, 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). So

P(A and B) = 0.9 × 0.49 = 0.441.

Rounded to the nearest thousandth: 0.441.