A cereal company puts exactly one of its 20 prizes into every box of its cereals at random. (a) Julie bought 50 boxes of cereals from this company. Write a simulation program to calculate an...

(a) Julie bought 50 boxes of cereals from this company. Write a simulation program to calculate an approximate value of the probability that she gets all 20 prizes.

(b) Suppose that Jim wants to have at least a 50% chance of getting all 20 prizes. Write a simulation program to calculate the approximate value of the minimum number of cereal boxes that he should buy.