document.write( "Question 326839: If casino Keno were fair, how much should it pay to a player who bets $2 to bet 6 numbers and matches 4 numbers? The odds against matching 4 numbers in casino Keno when you bet 6 numbers are about 34 to 1.
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Algebra.Com's Answer #234528 by stanbon(75887)\"\" \"About 
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If casino Keno were fair, how much should it pay to a player who bets $2 to bet 6 numbers and matches 4 numbers? The odds against matching 4 numbers in casino Keno when you bet 6 numbers are about 34 to 1.
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\n" ); document.write( "P(lose) = 34/35
\n" ); document.write( "P(win) = 1/35
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\n" ); document.write( "Find expected winning or losing amount:
\n" ); document.write( "Random winnings: x-2 or -2
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\n" ); document.write( "Expected value: (34/35)(-2) + (1/35)(x-2)
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\n" ); document.write( "If the game is fair E(x) = 0
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\n" ); document.write( "Solve (34/35)(-2) + (1/35)(x-2) = 0
\n" ); document.write( "Multiply thru by 35 to get:
\n" ); document.write( "-68 + x-2 = 0
\n" ); document.write( "x = 70
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\n" ); document.write( "The casino should pay $70 to a winner.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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