document.write( "Question 1035491: A die is rolled twice. What is the probability of getting either a multiple of 2 on the first roll or a total of 8 for both rolls?
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document.write( "I know that the probability of the sum of 8 is: 5/36
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document.write( "but I cant get the rest of the problem \n" );
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Algebra.Com's Answer #650153 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "In \"sum of two dice\" problems, it's a good\r\n" ); document.write( "idea to make a 6x6 chart of all 36 possible 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) \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then mark the ones that are either a \r\n" ); document.write( "multiple of 2 on the first roll \r\n" ); document.write( "or a total of 8 for both rolls?\r\n" ); document.write( "\r\n" ); document.write( "The multiples of 2 are 2,4, and 6.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "I'll color them red (Some fit both categories,\r\n" ); document.write( "but we can't count them but one time.)\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( "I count 20. So that's 20 out of 36, or 20/36 which reduces\r\n" ); document.write( "to 5/9.\r\n" ); document.write( "\r\n" ); document.write( "Answer: probability = 5/9 \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |