John is trying to choose fiscally responsible stocks, and has narrowed his investment choices down to 5 stocks. Suppose that 3 of the stocks will fail, and that John will randomly choose 2 stocks to invest in. Assume he can't invest in the same stock twice.
(a) Determine the probability that he selects one of the stocks that will fail?
(b) Determine the probability that both stocks he selects will be failures?
(C) Determine the expected number of stocks that will fail out of the two that he picked?