document.write( "Question 1053270: Find the odds of rolling a pair of dice and getting a sum of 11 or greater \n" ); document.write( "
Algebra.Com's Answer #668546 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Find the odds of rolling a pair of dice and getting a sum
\n" ); document.write( "of 11 or greater
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document.write( "Here are all possible rolls:\r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
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document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" );
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document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" );
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document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" );
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document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) \r\n" );
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document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)  \r\n" );
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document.write( "The rolls with sum 11 or greater are in red,\r\n" );
document.write( "and the ones not with sum 11 or greater are\r\n" );
document.write( "in blue.  The odds in favor of red are\r\n" );
document.write( "\"reds:blues\".  We count the red ones.  There are\r\n" );
document.write( "3.  We count the blue ones.  There are 33.\r\n" );
document.write( "So the odds in favor are 3 to 33 or 3:33\r\n" );
document.write( "and we can divide both by 3 and get 1:11, \r\n" );
document.write( "which is read as \"1 to 11\".  \r\n" );
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document.write( "[Note: If you had been asked for the odds against \r\n" );
document.write( "instead of the odds in favor, the odds against are \r\n" );
document.write( "33 to 3 or 33:3 and we can divide both by 3 and \r\n" );
document.write( "get 11:1, which is read as \"11 to 1\".\r\n" );
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document.write( "If you had been asked for the probability instead\r\n" );
document.write( "of the odds in favor, the probability would be 3 out of 36,\r\n" );
document.write( "or 3/36 which reduces to 1/12.]\r\n" );
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document.write( "Edwin
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