document.write( "Question 944326: person pays $2 to play a certain game by rolling a single die once. if a 1 or
\n" ); document.write( "2 comes up the person wins nothing. if, however they roll a 3,4,5, 0r 6, the
\n" ); document.write( "player wins the difference between the number rolled and $2. Find the the
\n" ); document.write( "expectation for this game. is the game fair?
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Algebra.Com's Answer #575851 by Edwin McCravy(20060) $\"\"$ $\"About$

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a person pays $2 to play a certain game by rolling a single die once. if a 1 or
\n" ); document.write( "2 comes up the person wins nothing. if, however they roll a 3,4,5, 0r 6, the
\n" ); document.write( "player wins the difference between the number rolled and $2. Find the the
\n" ); document.write( "expectation for this game. is the game fair?
\n" ); document.write( "

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document.write( "Roll  Winnings   Prob.    W*P\r\n" );
document.write( " 1    -2+0=-2     1/6    -2/6\r\n" );
document.write( " 2    -2+0=-2     1/6    -2/6\r\n" );
document.write( " 3    -2+1=-1     1/6    -1/6\r\n" );
document.write( " 4    -2+2= 0     1/6       0\r\n" );
document.write( " 5    -2+3= 1     1/6     1/6\r\n" );
document.write( " 6    -2+4= 2     1/6     2/6\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "  Expectation = Σ(W*P) = -2/6 = -1/3 of a dollar.\r\n" );
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document.write( "The expectation is to lose  of a dollar or ¢ loss\r\n" );
document.write( "per game on the average.  So it is not fair, because the expectation\r\n" );
document.write( "is not 0.\r\n" );
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document.write( "Edwin

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