# math

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If E and F are events with P ( E ∩ F ) = 0.09 and P ( E F ) = 0.3 , P ( F E ) = 0.4
Find P (F )

• math -

I assume the question was:
If E and F are events with P ( E ∩ F ) = 0.09 and P ( E | F ) = 0.3 , P ( F | E ) = 0.4
Find P (F )

where P(E|F) and P(F|E) are conditional probabilities.

Review your class notes to find that:
P(E|F)=P(E∩F)/P(F)
and
P(F|E)=P(F∩E)/P(E)=P(E∩F)/P(E)

From the above equations, you can solve for P(F) and P(E) respectively.

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