document.write( "Question 72870: When two fair dice are rolled, the sum of the two dice can be any number from 2 through 12. What is the probability that this sum will be exactly a 7? Please show me how to solve this. \n" ); document.write( "
Algebra.Com's Answer #52097 by jmg(22)![]() ![]() ![]() You can put this solution on YOUR website! This is hard to explain on here but I will try.\r \n" ); document.write( "\n" ); document.write( "If you look at all the possible combinations: \n" ); document.write( "1+1=2 \n" ); document.write( "1+2=3 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "1+6=7\r \n" ); document.write( "\n" ); document.write( "then go to the 2's, you have already used 1+ 2 so now start with \n" ); document.write( "2+2=4 \n" ); document.write( "2+3=5 \n" ); document.write( ". \n" ); document.write( "2+5=7 \n" ); document.write( "2+6=8\r \n" ); document.write( "\n" ); document.write( "then go to the 3's, etc. \r \n" ); document.write( "\n" ); document.write( "When you finish with all the combos, up through 6+6. You will have a total of 21 combinations that could occur when rolling two fair dice.\r \n" ); document.write( "\n" ); document.write( "If you look through them you will see that there are 3 combinations that will add up to 7.\r \n" ); document.write( "\n" ); document.write( "So the probability that you will roll a sum of 7 is 3/21, which reduces to 1/7\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |