document.write( "Question 1097231: Two dice are rolled. Find the probability of getting the following.
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document.write( "2) a sum of 6 or 7 or 8 b) doubles or a sum of 4 or 6 c) a sum greater than 9 or less than 4,\r
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document.write( "Please help me answer this. \n" );
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Algebra.Com's Answer #711715 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! Two dice are rolled. \n" ); document.write( " \r\n" ); document.write( "Here are all possible rolls: Count them, there are 36\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( " \n" ); document.write( "Find the probability of getting the following. \n" ); document.write( "2) a sum of 6 or 7 or 8 \n" ); document.write( " \r\n" ); document.write( "I'll color those red:\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. I count 16. So the probability\r\n" ); document.write( "of rolling one on those 16, is 16 times out of 36,\r\n" ); document.write( "or 16/36 which reduces to 4/9.\r\n" ); document.write( "\r\n" ); document.write( "--------------------------------------------------\r\n" ); document.write( " \n" ); document.write( "b) doubles or a sum of 4 or 6 \n" ); document.write( " \r\n" ); document.write( "I'll color those red:\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. I count 12. So the probability\r\n" ); document.write( "of rolling one on those 12, is 12 times out of 36,\r\n" ); document.write( "or 12/36 which reduces to 1/3.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------------------------------\r\n" ); document.write( " \n" ); document.write( "c) a sum greater than 9 or less than 4, \n" ); document.write( " \r\n" ); document.write( "Now you can do that one by yourself, right?\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |