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at 1 in the box where you mark your numbers was chosen 10 times in our sample of 17,000. Recall that in the July 29 drawing there were 210,800,000 tickets sold. This suggests that in this drawing there 63240000/17000 = 3720 players might choose this same set of five white numbers. If the lottery officials had the bad luck to also choose it this would cost them 372 million dollars! The new boxes are not as symmetric as the old ones that our data applied to. This may help them with this potential problem. Of course, the real thing that will save them is that they are very unlikely to choose a popular set of numbers. HOW OFTEN IS THE JACKPOT WON? The size of the jackpot changes from one drawing to the next. If, on a given drawing, no one chooses the winning numbers, the jackpot is increased several million dollars for the next drawing. When there is a winner, the jackpot goes back to the minimum amount, which currently is 5 million dollars. The size of the increase when there is no winner depends upon the number of tickets sold for the previous drawing. We investigate the size of the jackpots through the years of the original rules. We find, on the Powerball homepage, the amounts of the jackpot in all the drawings under the original rules. The jackpots, from the beginning of the Powerball lottery on April 22, 1992 until March 1, 1997, range from 2 million to 111,240,463. The jackpot was won in 75 of these 805 drawings. 11 of these times there were two winners and never more than two winners. The total of all these jackpots was $2,206,159,204 with an average of $29,415,456. The average number of drawings between jackpots being won was 6.72 or, since there are two drawing a week, about 3 weeks. Here is the distribution of times between jackpots: 19PDF Image | USING LOTTERIES IN TEACHING A CHANCE COURSE
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