Question

Given that events A and B are independent with P(A)=0.88P(A)=0.88 and P(B)=0.45P(B)=0.45, determine the value of P(B|A)P(B∣A), rounding to the nearest thousandth, if necessary.

Answer 1

Remember that

If A and B are independent events

then

P(B|A)=P(B)

P(A|B)=P(A)

therefore

P(B|A)=0.45