Question 319081: In New York's Millennium Millions Lottery game, five numbers from 1 to 50 and one number for the Big Millennium Ball from 1 to 30 must be selected. There is one jackpot prize for the ticket with the six numbers that match the six randomly selected numbers. What are the odds against winning the jackpot?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In New York's Millennium Millions Lottery game, five numbers from 1 to 50 and one number for the Big Millennium Ball from 1 to 30 must be selected. There is one jackpot prize for the ticket with the six numbers that match the six randomly selected numbers. What are the odds against winning the jackpot?
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# of ways to get the 5 winning numbers: 1
# of ways to pick 5 numbers from 30: 30C5 = 142506
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Probability of getting the winning 5 numbers: 1/142506
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Probability of getting the correct Millennium Ball: 1/30
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P(winning the jackpot) = (1/142506)(1/30) = 1/4,275,180
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P(not winning the jackpot) = 4275179/4275180
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Odds against winning = P(not win)/P(win) = 4,275,179:1
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Cheers,
Stan H.
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