document.write( "Question 624879: if a person rolls doubles when tossing two dice, the roller profits $95. If the game is fair, how much should the person pay to play the game? \n" ); document.write( "

Algebra.Com's Answer #393134 by Edwin McCravy(20055) $\"\"$ $\"About$

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if a person rolls doubles when tossing two dice, the roller profits $95. If the game is fair, how much should the person pay to play the game?
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document.write( "The probability of wnning (rolling doubles) is 6 out of 36 or . \r\n" );
document.write( "The probability of losing is 1- = .\r\n" );
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document.write( "Let $N be the price to pay to make the game fair:\r\n" );
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document.write( "Possible      Probability \r\n" );
document.write( " Outomes      of outcome      Expectation\r\n" );
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document.write( "    x               p             xp\r\n" );
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document.write( "   $95             1/6            95/6  \r\n" );
document.write( "   -$N             5/6           -5N/6\r\n" );
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document.write( "                         ∑xp = \r\n" );
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document.write( " To make the game fair we set that = 0\r\n" );
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document.write( "              ∑xp =  = 0\r\n" );
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document.write( "                     = 0\r\n" );
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document.write( "Multiply through by 6\r\n" );
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document.write( "                    95 - 5N = 0\r\n" );
document.write( "                        -5N = -95\r\n" );
document.write( "                          N = 19\r\n" );
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document.write( "So he should pay $19 to play to make the game fair.\r\n" );
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document.write( "Edwin

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