E and F are mutually exclusive events. P(E) = 0.5; P(F) = 0.4. Find P(E|F). (Enter your answer to one decimal place.) P(E|F)

Answer 1

Hi! We know that conditional probability states that for any two events A and B, we have...

P(A|B) = P (A). or P(B|A) = P(B).

HOWEVER, this is only for independent events. (These can happen at the same time, or simultaneously - it's just that one event happening doesn't affect the other.)

Your case is very similar. BUT for mutually exclusive events (meaning they both cannot occur/happen at the same time), this is always 0! In this case, we will always have:

P(A|B) = 0. P(B|A) = 0.

Hope this helps!