document.write( "Question 1078018: Two dice are rolled once. What is the probability that the two numbers that show.\r
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\n" ); document.write( "c) have a sum which is even and at least 8? \n" ); document.write( "
Algebra.Com's Answer #692490 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
Two dice are rolled once. What is the probability that the
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document.write( "Here are all the possible rolls with a \r\n" );
document.write( "red die and a green die:\r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
document.write( " \r\n" );
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" );
document.write( " \r\n" );
document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\r\n" );
document.write( " \r\n" );
document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\r\n" );
document.write( " \r\n" );
document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) \r\n" );
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document.write( "

\n" ); document.write( "a) have a sum of 7?
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document.write( "There are 36 possible rolls.  Now I \r\n" );
document.write( "will underline just those which have\r\n" );
document.write( "a sum of 7:\r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
document.write( " \r\n" );
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" );
document.write( " \r\n" );
document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\r\n" );
document.write( " \r\n" );
document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\r\n" );
document.write( " \r\n" );
document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)\r\n" );
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document.write( "There are 36 possible rolls.  So \r\n" );
document.write( "there are 6 possible rolls out of\r\n" );
document.write( "the 36 which have that property.\r\n" );
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document.write( "Therefore the probability is \"6%2F36\" \r\n" );
document.write( "which reduces to \"1%2F6\"\r\n" );
document.write( "

\n" ); document.write( "b) have a sum of at most 5?
\r\n" );
document.write( "There are 36 possible rolls.  Now I \r\n" );
document.write( "will underline just those which have\r\n" );
document.write( "a sum of at most 5:\r\n" );
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\r\n" );
document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
document.write( " \r\n" );
document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" );
document.write( "\r\n" );
document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)\r\n" );
document.write( " \r\n" );
document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\r\n" );
document.write( " \r\n" );
document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\r\n" );
document.write( " \r\n" );
document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) \r\n" );
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document.write( "There are 36 possible rolls.  So \r\n" );
document.write( "there are 10 possible rolls out of\r\n" );
document.write( "the 36 which have that property.\r\n" );
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document.write( "Therefore the probability is \"10%2F36\" \r\n" );
document.write( "which reduces to \"5%2F18\"\r\n" );
document.write( "

\n" ); document.write( "c) have a sum which is even and at least 8?
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\r\n" );
document.write( "Now I will underline just those which have\r\n" );
document.write( "a sum which is even and at least 8:\r\n" );
document.write( "\r\n" );
document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
document.write( " \r\n" );
document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" );
document.write( "\r\n" );
document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)\r\n" );
document.write( " \r\n" );
document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\r\n" );
document.write( " \r\n" );
document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\r\n" );
document.write( " \r\n" );
document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) \r\n" );
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document.write( "There are 36 possible rolls.  So \r\n" );
document.write( "there are 9 possible rolls out of\r\n" );
document.write( "the 36 which have both properties.\r\n" );
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document.write( "Therefore the probability is \"9%2F36\" \r\n" );
document.write( "which reduces to \"1%2F4\"\r\n" );
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document.write( "Edwin
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