document.write( "Question 1153379: If two dies are rolled one time, find the probability of getting these results\r
\n" ); document.write( "\n" ); document.write( "1. A sum less than 9
\n" ); document.write( "2. A sum greater than 9 \n" ); document.write( "

Algebra.Com's Answer #775607 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

Here are all 36 possible dice rolls:\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)

\n" ); document.write( "If two dice are rolled one time, find the probability of getting these results\r
\n" ); document.write( "\n" ); document.write( "1. A sum less than 9

\r\n" );
document.write( "\r\n" );
document.write( "I will color red all the dice rolls with sum less than 9:\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( "Count the red ones.  There are 26.\r\n" );
document.write( "\r\n" );
document.write( "So the probability is 26 out of 36, or 26/36, which reduces to 13/18.

\n" ); document.write( "2. A sum greater than 9

\r\n" );
document.write( "I will color red all the dice rolls with sum greater than 9:\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( "Count the red ones.  There are 6.\r\n" );
document.write( "\r\n" );
document.write( "So the probability is 6 out of 36, or 6/36, which reduces to 1/6.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );