document.write( "Question 268797: If North American casino roulette were fair, how much should it pay to a player who bets $10 on red and a red number comes up? The odds against winning a bet on a red in roulette are 1.01 to 1.
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Algebra.Com's Answer #196986 by stanbon(75887)\"\" \"About 
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If North American casino roulette were fair, how much should it pay to a player who bets $10 on red and a red number comes up?
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\n" ); document.write( "The odds against winning a bet on a red in roulette are 1.01 to 1.
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\n" ); document.write( "P(win) = 1/(2.01) ; P(lose) = 1.01/2.01
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\n" ); document.write( "Note: If the game is \"fair\" E(x) = 0
\n" ); document.write( "Let \"x\" be casino payback.
\n" ); document.write( "Equation:
\n" ); document.write( "E(x) = winnings(P(win))+(losings)(P(lose)) = 0
\n" ); document.write( "(x-10)(1/2.01)+(-10)(1.01/2.01) = 0
\n" ); document.write( "Multiply thru by 2.01 and solve for \"x\"
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\n" ); document.write( "(x-10) -10(1.01) = 0
\n" ); document.write( "x = 10 + 10.1 = $20.10
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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