1. The probability of a royal flush in a poker hand is p = 1/649,740. How large must n be to render the probability of having no royal flush in n hands smaller than 1/e?
2. A baker blends 600 raisins and 400 chocolate chips into a dough mix and, from this, makes 500 cookies.
(a) Find the probability that a randomly picked cookie will have no raisins.
(b) Find the probability that a randomly picked cookie will have exactly two chocolate chips.
(c) Find the probability that a randomly chosen cookie will have at least two bits (raisins or chips) in it.