SOLUTION: Supppse that E and F are two events and that P(E) = 0.28 and P(F|E) = 0.7 What is P(E and F)

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Question 1200947: Supppse that E and F are two events and that P(E) = 0.28 and P(F|E) = 0.7 What is P(E and F)
Answer by ikleyn(52781) About Me  (Show Source):
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The conditional probability  P(E|F) is the ratio

    P(F|E) = P%28E_and_F%29%2FP%28E%29.


which, with the given values, is

    0.7 = P%28E_and_F%29%2F0.28.


From this equation, we find   P(E and F) = 0.7*0.28 = 0.196.


ANSWER.  P(E and F) = 0.196.

Solved.