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| Question 249423:  If casino Keno were fair, how much should it pay to a player who bets $10 to bet 6 numbers and matches 5 numbers? The odds against matching 5 numbers when you bet 6 numbers in casino Keno are about 322 to 1.
 (Points :3)
 
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! If casino Keno were fair, how much should it pay to a player who bets $10 to bet 6 numbers and matches 5 numbers? The odds against matching 5 numbers when you bet 6 numbers in casino Keno are about 322 to 1.
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 P(for) = 1/323
 P(against) = 322/323
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 Random Number values: -10, x-10
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 For a fair game, expected value is zero.
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 Let "x" be the payoff.
 -10(322/323) + (x-10)(1/323) = 0
 Multiply thru by 323 to get:
 -3230 + x-10 = 0
 x = $3240
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 Cheers,
 Stan H.
 
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