15. The city of Frontierstown holds a random draw lottery (with odds of winning similar to the current New York State lottery). The chances of a single ticket winning different prizes are listed in the table below. Winning each prize is an independent event (each ticket could, theoretically, win all four prizes). Prize $1,000,000 $50,000 $100 $7 Probability of Winning 1 in 12,000,000 1 in 900,000 1 in 10,000 1 in 300 (i) If you buy one ticket, what is the probability that you will win at least one prize? (ii) If you buy 50 tickets, what is the probability that you will win at least one prize? [5 points, C]