55. In one of the New York state lottery games, a number is chosen at random between 0 and 999. Suppose you play this game 250 times. Use the Poisson approximation to estimate the probability you will never win and compare this with the exact answer.

58. Books from a certain publisher contain an average of 1 misprint per page. What is the probability that on at least one page in a 300 page book there are five misprints?