SOLUTION: Suppose that E and F are two events and that P(E)=0.4 and P(F|E)=0.5. What is P(E and F)?

SOLUTION: Suppose that E and F are two events and that P(E)=0.4 and P(F|E)=0.5. What is P(E and F)?

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Question 1193485: Suppose that E and F are two events and that P(E)=0.4 and P(F|E)=0.5. What is P(E and F)?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
recall that
P(F|E) = P(E an dF)/P(E)
given:
P(E)=0.4
P(F|E)=0.5
substitute in equation above
0.5 = P(E and F)/0.4
0.4 *0.5 = P(E and F)
P(E and F)=0.2

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