Your favorite cereal has a little prize in each box. There are 5 such prizes. Each box is equally…

Your favorite cereal has a little prize in each box. There are 5 such prizes. Each box is equally likely to contain any one of the prizes. So far, you have been able to collect 2 of the prizes. What is: (a) the probability that you will get the third different prize on the next box you buy? (b) the probability that it will take three more boxes to get the next prize? (c) the average number of boxes you will have to buy before getting the third prize?