document.write( "Question 470231: two standard dice are rolled. what are the odds against rolling a sum of 4 or 11? \n" ); document.write( "
Algebra.Com's Answer #322554 by josmiceli(19441)\"\" \"About 
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In other words:
\n" ); document.write( "What are he odds in favor of rolling any sum EXCEPT
\n" ); document.write( "4 or 11?
\n" ); document.write( "Since there are 6 numbers of each die, there are \"+6%2A6+=+36+\"
\n" ); document.write( "ways to get a result.
\n" ); document.write( "( odds against rolling 4 or 11) = ( odds in favor of getting ANY number) - ( odds in favor of getting 4 or 11 )
\n" ); document.write( "------------------------
\n" ); document.write( "Ways to get a 4:
\n" ); document.write( "1 and 3
\n" ); document.write( "3 and 1
\n" ); document.write( "2 and 2
\n" ); document.write( "Ways to get an 11:
\n" ); document.write( "4 and 7
\n" ); document.write( "7 and 4
\n" ); document.write( "5 and 6
\n" ); document.write( "6 and 5
\n" ); document.write( "So, there are 7 results you must avoid
\n" ); document.write( "Working with probabilities:
\n" ); document.write( "P(of getting ANY result) = 1
\n" ); document.write( "P(of getting 4 or 11) = 7/36
\n" ); document.write( "P(against rolling 4 or 11) = 1 - 7/36
\n" ); document.write( "1 - 7/36 = 36/36 - 7/36
\n" ); document.write( "1 = 7/36 = 29/36
\n" ); document.write( "To compute odds, it is (what you want):(what you don't want)
\n" ); document.write( "36 - 29 = 7 (what you don't want)
\n" ); document.write( "The odds against rolling 4 or 11 is 29:7 \n" ); document.write( "
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