Use random numbers to simulate the experiments. The number in parentheses is the number of times the experiment should be repeated.

16. Prizes in Caramel Corn Boxes A caramel corn company gives four different prizes, one in each box. They are placed in the boxes at random. Find the average number of boxes a person needs to buy to get all four prizes. (40)

18. Lottery Winner To win a certain lotto, a person must spell the word big. Sixty percent of the tickets contain the letter b, 30% contain the letter i, and 10% contain the letter g. Find the average number of tickets a person must buy to win the prize. (30)