Question

Suppose that E and F are two events and that Upper P left parenthesis Upper E right parenthesisP(E)equals=0.70.7 and Upper P left parenthesis F|E right parenthesisP(F|E)equals=0.80.8. What is Upper P left parenthesis Upper E and Upper F right parenthesisP(E and F)​?

Answer 1

The probability would be 0.56.

Conditional probability is given as:

P(A and B) = P(A) * P(B|A).  In this case, we have

P(E and F) = P(E) * P(E|F) = 0.7(0.8) = 0.56.