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To assess the likelihood of this happening, should we find the probability that some two such lotteries have the same two numbers during a given period of time? Is this different from a reporter noticing that the number that turned up in the lottery in New Hampshire on Wednesday happened also to occur in the Massachusetts lottery on Saturday? Here is another of his examples: From the New York Times of February 14, 1986. Odds-Defying Jersey Women Hits Lottery Jackpot 2d Time Defying odds in the realm of the preposterous--1 in 17 million- -a women who won $3.9 million in the New Jersey state lottery last October has hit the jackpot again and yesterday laid claim to an addition $1.5 million prize... She was the first two time million-dollar winner in the history of New Jersey's lottery, state officials said. They added that they had never before heard of a person winning two million- dollar prizes in any of the nation's 22 state lotteries. For aficionados of miraculous odds, the numbers were mind boggling: In winning her first prize last Oct. 24, Mrs. Adams was up against odds of 1 in 3.2 million. The odds of winning last Monday, when numbers were drawn in a somewhat modified game, were 1 in 5.2 million. And after due consultation with a professor of statistics at Rutgers University, lottery officials concluded that the odds of winning the top lottery prize twice in a lifetime were 1 in about 17.3 trillion--that is, 17,300,000,000,000. Does it matter that she played the lottery many times often buying more than one ticket? Again, are we talking about this happening somewhere, sometime? Should we ever believe that something with these odds has happened? LOTTERY SYSTEMS Richard Paulson* observes that claims made about systems for improving your chances at lotteries illustrate important statistical concepts. For example, people claim that, by analyzing the historical data of winning numbers, it is possible to predict future winners. Indeed, * Paulson, Richard A. "Using Lottery Games to Illustrate Statistical Concepts and Abuses", The American Statistician , Vol. 45, No. 3, pp. 202-204. 25PDF Image | USING LOTTERIES IN TEACHING A CHANCE COURSE
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