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01-03-09-30-34 (occurred 5 times, always with Powerball number 40) 05-06-16-18-23 (occurred 4 times, always with Powerball number 31) 02-05-20-26-43 (occurred 4 times with different Powerball numbers) Here is a Chance News item related to the problem of people choosing popular numbers. The letters followed an article in The Times stating that the inaugural drawing of the new British Lottery had five times the number of winners expected, including seven people who had to share the jackpot. They blamed this on the fact that the six winning numbers 03-05-14-22-30-44 had five numbers under 31 and most people chose low numbers. In this lottery, you choose 6 numbers between 1 and 49 and have to get them all correct to win the jackpot. If you get three numbers correct you win £10. The amount you win for any other prize depends on the number of other people who win this prize. The Times, 24 November 1994, letters to the editor. Slim pickings in National Lottery From Mr George Coggan Sir, With random choices, the odds against there being seven or more jackpot winners in the National Lottery when only 44 million tickets have been sold are 23-1. This suggests that those who predicted that low numbers would be popular were right as the slightly disproportionate number of single digits (3 and 5 came up) would combine to produce more winners than would be produced by entirely random selections. Mildly interesting, one might think, but then one suddenly realizes that there is a lurking danger that the rules create the possibility that when (as will happen sooner or later) three single digit numbers come up the prize fund may not be enough to cover the Pounds 10 guaranteed minimum prize, never mind a jackpot. I estimate that if the number 7 had come up instead of say 44 the prize fund in this first lottery would have been about Pounds 5 million short of the guarantee. What then panic? Yours sincerely, GEORGE COGGAN, 14 Cavendish Crescent North, The Park, Nottingham. November 21. 1994 Tuesday 17PDF Image | USING LOTTERIES IN TEACHING A CHANCE COURSE
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