Question

Given that events A and B are independent with P, left parenthesis, A, right parenthesis, equals, 0, point, 6, 8P(A)=0.68 and P, left parenthesis, A, and , B, right parenthesis, equals, 0, point, 5, 4, 4P(A and B)=0.544, determine the value of P, left parenthesis, B, right parenthesisP(B), rounding to the nearest thousandth, if necessary.

Answer 1

For independent events P(A and B) = P(A)P(B). So P(B) = P(A and B)/P(A) = 0.544/0.68 = 0.8. (Or 0.800 rounded to the thousandth.)