document.write( "Question 1184817: Suppose it costs $6.00 to roll a pair of dice. You get paid the large number in dollars that appears on the dice unless you roll a double in which case you get paid the sum in dollars. If you play long enough for this game, are you expecting to win money or lose money? Is it a fair game? \n" ); document.write( "
Algebra.Com's Answer #815460 by Boreal(15235)\"\" \"About 
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probability of a double is 1/36
\n" ); document.write( "if 1-1, the pay out is $2, and the expected gain is $2/36
\n" ); document.write( "if 2-2, the pay out is $4,and the expected gain is $4/46
\n" ); document.write( "if 3-3, the pay out is $6,and the expected gain is $6/36
\n" ); document.write( "if 4-4, the pay out is $8, $8/36
\n" ); document.write( "If 5-5 the pay out is $10, $10/36
\n" ); document.write( "if 6-6 the pay out is $12, $12/36
\n" ); document.write( "There are 30 other possibilities:
\n" ); document.write( "1-2/1-3/1-4/1-5/1-6 The gain is $20/36
\n" ); document.write( "2-1/2-3/2-4/2-5/2-6/ The expected gain is $20/36
\n" ); document.write( "3-1/3-2/3-4/3-5/3-6 will be $21/26
\n" ); document.write( "4-1/4-2/4-3/4-5/4-6/ will be $23/36
\n" ); document.write( "5-1/5-2/5-3/5-4/5-6/will be $26/36
\n" ); document.write( "6-1/6-2/6-3/6-4/6-5/will be $30/36
\n" ); document.write( "The expected gains are (2+4+6+8+10+12+140)/36
\n" ); document.write( "=$182/36, or $5.06
\n" ); document.write( "The loss is $6
\n" ); document.write( "The expected value is -$0.94, lose money, not a fair game
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