Quick probability question
I'm finishing up some of my stat HW right now and I have hit a wall. There are two questions that are on the tip of my tongue and I can't answer them! It's maddening!
Anyway, here is the the first question...in question:
Suppose the P(E) = .6 , P(F) = .3, and that E and F are independent events. What is the probability that the student knows the answer to the first question and does NOT know the answer to the second question?
(E=prob of first question and F= prob of second)
I really feel like the solutions are obvious, but nothing is coming to me.
Question two is:
P(E) = .6 and P(F) = .5 and P(E and F) = .4
Given the above, what is the probability that the student knows the answer to EXACTLY one of the questions?