Suppose that n raisins have been carefully mixed with a batch of dough. If we bake k (k > 4) raisin buns of equal size from this mixture, what is the probability that two out of four randomly selected buns contain no raisins? Hint: Note that, by Example 5.13, the number of raisins in a given bun is approximately Poisson with parameter n/k.
Suppose that n raisins are thoroughly mixed in dough. If we bake k raisin cookies of equal sizes from this mixture, what is the probability that a given cookie contains at least one raisin?
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