document.write( "Question 1064597: Three dice are thrown simultaneously the probability of getting a sum six or less is \n" ); document.write( "
Algebra.Com's Answer #679695 by math_helper(2461)\"\" \"About 
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Here is a table of the number of possible outcomes for each sum 3..18, condensed due to the symmetry of the possible outcomes:\r
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document.write( "SUM                 n_ways                 SUM\r\n" );
document.write( " 3                       1                  18\r\n" );
document.write( " 4                       3                  17\r\n" );
document.write( " 5                       6                  16 \r\n" );
document.write( " 6                      10                  15\r\n" );
document.write( " 7                      15                  14   \r\n" );
document.write( " 8                      21                  13 \r\n" );
document.write( " 9                      25                  12\r\n" );
document.write( "10                      27                  11\r\n" );
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document.write( "The total possible outcomes is twice the sum of the middle column: 2*(1+3+6+10+15+21+25+27) = 216 (= 6x6x6)\r\n" );
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\n" ); document.write( "\n" ); document.write( "To get 6 or less, we see that there are \"+1%2B3%2B6%2B10+=+20+\" ways for that to happen.
\n" ); document.write( "Thus Pr{ sum is 6 or less on 3 dice thrown } = \"+highlight%28+20%2F216%29+\" or approx \"highlight%28+0.09259+%29\" \r
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