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February 27, 2004
Q. It has been reported that the wealthy don't play state lotteries unless the jackpot grows enormous, at which point probability theory says the game may become a good bet. How good? What's the theory here?
A. A fair bet is one where the "expected winnings" exceed the ticket price, says Williams College economist Victor Matheson. For example, a recent Powerball jackpot reached $260 million with odds of winning at roughly 1 in 120 million. So multiply the $260 million by 1/120 million and you get at least $2 expected winnings for the $1 ticket.
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