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) ?

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Mathematics

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20 August, 02:46

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) ?

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Lillian Koch · 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.