document.write( "Question 971791: A pair if dice is rolled. what is the probability that the sum is equal to:\r
\n" ); document.write( "\n" ); document.write( "A. 5.\r
\n" ); document.write( "\n" ); document.write( "B. 10.\r
\n" ); document.write( "\n" ); document.write( "c. at most 9.\r
\n" ); document.write( "\n" ); document.write( "d. at least 8. \n" ); document.write( "

Algebra.Com's Answer #594228 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
a pair if dice is is. what that probability that the sum is equal to: \r
\n" ); document.write( "\n" ); document.write( "A. 5.
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Here are all 36 possible ways the pair of dice can land.  The\r\n" );
document.write( "cases when their sum is equal to 5 are in red:\r\n" );
document.write( "\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" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the probability that they will land such that their sum is\r\n" );
document.write( "equal to 5 is those 4 ways out of the 36 possible rolls.\r\n" );
document.write( "4 out of 36 is a probability of  which reduces to .\r\n" );
document.write( "\r\n" );
document.write( "---------------\r\n" );
document.write( "

\n" ); document.write( "B. 10.
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Here again are all 36 possible ways the pair of dice can land.  This\r\n" );
document.write( "time the cases when their sum is equal to 10 are in red:\r\n" );
document.write( "\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" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the probability that they will land such that their sum is\r\n" );
document.write( "equal to 10 is those 3 ways out of the 36 possible rolls.\r\n" );
document.write( "3 out of 36 is a probability of  which reduces to .\r\n" );
document.write( "\r\n" );
document.write( "-------------------\r\n" );
document.write( "

\n" ); document.write( "c. at most 9.
\n" ); document.write( "

Here again are all 36 possible ways the pair of dice can land.  This time the\r\n" );
document.write( "cases when their sum is at most 9 are in red:\r\n" );
document.write( "\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" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the probability that they will land such that their sum is\r\n" );
document.write( "at most 9 is those 30 ways out of the 36 possible rolls.\r\n" );
document.write( "30 out of 36 is a probability of  which reduces to .\r\n" );
document.write( "\r\n" );
document.write( "------------------------\r\n" );
document.write( "

\n" ); document.write( "d. at least 8.
\n" ); document.write( "

Here once more are all 36 possible ways the pair of dice can land.  This\r\n" );
document.write( "time the cases when their sum is at least 8 are in red:\r\n" );
document.write( "\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" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the probability that they will land such that their sum is\r\n" );
document.write( "at least 8 is those 15 ways out of the 36 possible rolls.\r\n" );
document.write( "15 out of 36 is a probability of  which reduces to .\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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