document.write( "Question 862801: Two dice (say one red and one white) are rolled. What is the probability that the white die turns up a smaller number than the red die ? \n" ); document.write( "
Algebra.Com's Answer #519980 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "Assume that (M,N) in the chart below represents the case\r\n" );
document.write( "where the red die turns up M and the white die turns up N.\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( "So the denominator of the desired probability will be 36.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We want to know the probability that white (2nd) dies turns\r\n" );
document.write( "up a smaller number than the red (1st) die.  These successful\r\n" );
document.write( "rolls are the one below.  Count them.  There are 15.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(2,1)  \r\n" );
document.write( "\r\n" );
document.write( "(3,1) (3,2) \r\n" );
document.write( "\r\n" );
document.write( "(4,1) (4,2) (4,3)  \r\n" );
document.write( "\r\n" );
document.write( "(5,1) (5,2) (5,3) (5,4)  \r\n" );
document.write( "\r\n" );
document.write( "(6,1) (6,2) (6,3) (6,4) (6,5)\r\n" );
document.write( "\r\n" );
document.write( "So the numerator of the probability is 15\r\n" );
document.write( "\r\n" );
document.write( "So the desired probability is 15 out of 36 \r\n" );
document.write( "or \"15%2F36\" which reduces to \"5%2F12\".\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );