document.write( "Question 435513: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on the two dice is less than 7? (Round your answer to three decimal places.)
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Algebra.Com's Answer #301400 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here are all possible rolls of a pair of dice:\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( "Since we are given that the sum is less than 7, we will \r\n" );
document.write( "remove from the sample space all the ones which have sum\r\n" );
document.write( "of 7 or more, leaving only those that have the given \r\n" );
document.write( "property.\r\n" );
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document.write( "The reduced sample space consists of 15 rolls is this:\r\n" );
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document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  \r\n" );
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document.write( "(2,1)  (2,2)   (2,3)  (2,4)  \r\n" );
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document.write( "(3,1)  (3,2)   (3,3) \r\n" );
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document.write( "(4,1)  (4,2)   \r\n" );
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document.write( "(5,1)  \r\n" );
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document.write( "And I'll now color the doubles red.\r\n" );
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document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  \r\n" );
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document.write( "(2,1)  (2,2)   (2,3)  (2,4)  \r\n" );
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document.write( "(3,1)  (3,2)   (3,3) \r\n" );
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document.write( "(4,1)  (4,2)   \r\n" );
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document.write( "(5,1)\r\n" );
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document.write( "So 3 out of the 15 are doubles.  So the probability is 3/15,\r\n" );
document.write( "which reduces to 1/5, to three decimal places is .200\r\n" );
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document.write( "Edwin
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