Every week you buy a lottery ticket in 50 lotteries, in each
of which your chance of winning a prize is 0.01.
(a) Use the Poisson approximation to calculate the probability that you will win
at least one prize in a randomly chosen week.
(b) Find the probability that you win at least once in a 4-week period.
(c) Find the probability that it takes exactly 5 weeks to win for the first time.
