SOLUTION: There is a raffle which has a limit of 600 tickets and fifteen prizes. You buy three and win two prizes. What are the odds on this? I understand what the odds are if you were to wi
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Question 696377: There is a raffle which has a limit of 600 tickets and fifteen prizes. You buy three and win two prizes. What are the odds on this? I understand what the odds are if you were to win 1 prize....I believe 1-585/600^3 (excuse the notation!).....but what about winning two......or even three????
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There is a raffle which has a limit of 600 tickets and fifteen prizes. You buy three and win two prizes. What are the odds on this? I understand what the odds are if you were to win 1 prize....I believe 1-585/600^3 (excuse the notation!).....but what about winning two......or even three????
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P(win one prize) = 15/600 ; odds in favor = 15:585
P(win two prizes) = 15C2/600C2 = 105/179700 ; odds in favor = 105:179595
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P(win 3 prizes) = 15C3/600C3 = 455/35820200 ; odds in favor = 455:35819745
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Cheers,
Stan H.
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