document.write( "Question 483229: Two dice are thrown together.Find the probability that the two digit number formed with the two numbers turning up is divisible by 3. \n" ); document.write( "
Algebra.Com's Answer #330741 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "I take this to be interpreted as:\r\n" );
document.write( "\r\n" );
document.write( "What is the probability that the sum of the numbers on the dice\r\n" );
document.write( "is divisible by 3, given that it is a two digit number?\r\n" );
document.write( "\r\n" );
document.write( "If that is the correct interpretation, then since we are given\r\n" );
document.write( "that the sum is a two-digit number, the sum can only be 10, 11, \r\n" );
document.write( "or 12, the ones colored red below: \r\n" );
document.write( "\r\n" );
document.write( "⚀⚀   ⚀⚁   ⚀⚂   ⚀⚃   ⚀⚄  ⚀⚅\r\n" );
document.write( "\r\n" );
document.write( "⚁⚀   ⚁⚁   ⚁⚂   ⚁⚃   ⚁⚄  ⚁⚅\r\n" );
document.write( "\r\n" );
document.write( "⚂⚀   ⚂⚁   ⚂⚂   ⚂⚃   ⚂⚄  ⚂⚅\r\n" );
document.write( "\r\n" );
document.write( "⚃⚀   ⚃⚁   ⚃⚂   ⚃⚃   ⚃⚄  ⚃⚅\r\n" );
document.write( "\r\n" );
document.write( "⚄⚀   ⚄⚁   ⚄⚂   ⚄⚃   ⚄⚄  ⚄⚅\r\n" );
document.write( "\r\n" );
document.write( "⚅⚀   ⚅⚁   ⚅⚂   ⚅⚃   ⚅⚄  ⚅⚅\r\n" );
document.write( "\r\n" );
document.write( "Since we are given that the sum is a two-digit number, we can take\r\n" );
document.write( "away all the rolls whose sum is not a 2-digit, but only a a 1-digit\r\n" );
document.write( "number, and we will just have the red ones left as our reduced\r\n" );
document.write( "sample space:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                          ⚃⚅\r\n" );
document.write( "\r\n" );
document.write( "                     ⚄⚄  ⚄⚅\r\n" );
document.write( "\r\n" );
document.write( "                ⚅⚃   ⚅⚄  ⚅⚅ \r\n" );
document.write( "\r\n" );
document.write( "And the only one of those rolls whose sum is divisible by 3 is\r\n" );
document.write( "the one whose sum is 12, ⚅⚅.\r\n" );
document.write( "\r\n" );
document.write( "That's 1 out of 6.\r\n" );
document.write( "\r\n" );
document.write( "Answer 1/6.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );