document.write( "Question 487189: Consider a die with eight sides marked one,two,three, and so. Assuming equally likely outcome,find the probability that the sum of two dice is the given number. Enter the answer either as a fraction or as a decimal,round to three places\r
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\n" ); document.write( "b:P(6)=
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\n" ); document.write( "d:P(11)=
\n" ); document.write( "e:P(14)=
\n" ); document.write( "f:P(16)= \n" ); document.write( "
Algebra.Com's Answer #332990 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You must make a chart for the sample space of all possible\r\n" );
document.write( "dice throws:\r\n" );
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document.write( "Here is the sample space. It contains 64 possible outcomes:\r\n" );
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document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  (1,6)  (1,7)  (1,8)\r\n" );
document.write( "\r\n" );
document.write( "(2,1)  (2,2)   (2,3)  (2,4)   (2,5)  (2,6)  (2,7)  (2,8)\r\n" );
document.write( "\r\n" );
document.write( "(3,1)  (3,2)   (3,3)  (3,4)   (3,5)  (3,6)  (3,7)  (3,8)\r\n" );
document.write( "\r\n" );
document.write( "(4,1)  (4,2)   (4,3)  (4,4)   (4,5)  (4,6)  (4,7)  (4,8)\r\n" );
document.write( "\r\n" );
document.write( "(5,1)  (5,2)   (5,3)  (5,4)   (5,5)  (5,6)  (5,7)  (5,8)\r\n" );
document.write( "\r\n" );
document.write( "(6,1)  (6,2)   (6,3)  (6,4)   (6,5)  (6,6)  (6,7)  (6,8)\r\n" );
document.write( "\r\n" );
document.write( "(7,1)  (7,2)   (7,3)  (7,4)   (7,5)  (7,6)  (7,7)  (7,8)\r\n" );
document.write( "\r\n" );
document.write( "(8,1)  (8,2)   (8,3)  (8,4)   (8,5)  (8,6)  (8,7)  (8,8)\r\n" );
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document.write( "You'll find that all throws with a given sum are on a diagonal.\r\n" );
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document.write( "-----------------------------------\r\n" );
document.write( "a:P(4)\r\n" );
document.write( "The throws with sum 4 are in red:\r\n" );
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document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  (1,6)  (1,7)  (1,8)\r\n" );
document.write( "\r\n" );
document.write( "(2,1)  (2,2)   (2,3)  (2,4)   (2,5)  (2,6)  (2,7)  (2,8)\r\n" );
document.write( "\r\n" );
document.write( "(3,1)  (3,2)   (3,3)  (3,4)   (3,5)  (3,6)  (3,7)  (3,8)\r\n" );
document.write( "\r\n" );
document.write( "(4,1)  (4,2)   (4,3)  (4,4)   (4,5)  (4,6)  (4,7)  (4,8)\r\n" );
document.write( "\r\n" );
document.write( "(5,1)  (5,2)   (5,3)  (5,4)   (5,5)  (5,6)  (5,7)  (5,8)\r\n" );
document.write( "\r\n" );
document.write( "(6,1)  (6,2)   (6,3)  (6,4)   (6,5)  (6,6)  (6,7)  (6,8)\r\n" );
document.write( "\r\n" );
document.write( "(7,1)  (7,2)   (7,3)  (7,4)   (7,5)  (7,6)  (7,7)  (7,8)\r\n" );
document.write( "\r\n" );
document.write( "(8,1)  (8,2)   (8,3)  (8,4)   (8,5)  (8,6)  (8,7)  (8,8)\r\n" );
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document.write( "Therefore P(4) is 3 out of 64 or \"3%2F64\"\r\n" );
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document.write( "-------------------------------------------------\r\n" );
document.write( "b:P(6)\r\n" );
document.write( "The throws with sum 6 are in red:\r\n" );
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document.write( "\r\n" );
document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  (1,6)  (1,7)  (1,8)\r\n" );
document.write( "\r\n" );
document.write( "(2,1)  (2,2)   (2,3)  (2,4)   (2,5)  (2,6)  (2,7)  (2,8)\r\n" );
document.write( "\r\n" );
document.write( "(3,1)  (3,2)   (3,3)  (3,4)   (3,5)  (3,6)  (3,7)  (3,8)\r\n" );
document.write( "\r\n" );
document.write( "(4,1)  (4,2)   (4,3)  (4,4)   (4,5)  (4,6)  (4,7)  (4,8)\r\n" );
document.write( "\r\n" );
document.write( "(5,1)  (5,2)   (5,3)  (5,4)   (5,5)  (5,6)  (5,7)  (5,8)\r\n" );
document.write( "\r\n" );
document.write( "(6,1)  (6,2)   (6,3)  (6,4)   (6,5)  (6,6)  (6,7)  (6,8)\r\n" );
document.write( "\r\n" );
document.write( "(7,1)  (7,2)   (7,3)  (7,4)   (7,5)  (7,6)  (7,7)  (7,8)\r\n" );
document.write( "\r\n" );
document.write( "(8,1)  (8,2)   (8,3)  (8,4)   (8,5)  (8,6)  (8,7)  (8,8)\r\n" );
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document.write( "Therefore P(6) is 5 out of 64 or \"5%2F64\"\r\n" );
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document.write( "-------------------------------------------------\r\n" );
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document.write( "The throws with sum 10 are in red:\r\n" );
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document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  (1,6)  (1,7)  (1,8)\r\n" );
document.write( "\r\n" );
document.write( "(2,1)  (2,2)   (2,3)  (2,4)   (2,5)  (2,6)  (2,7)  (2,8)\r\n" );
document.write( "\r\n" );
document.write( "(3,1)  (3,2)   (3,3)  (3,4)   (3,5)  (3,6)  (3,7)  (3,8)\r\n" );
document.write( "\r\n" );
document.write( "(4,1)  (4,2)   (4,3)  (4,4)   (4,5)  (4,6)  (4,7)  (4,8)\r\n" );
document.write( "\r\n" );
document.write( "(5,1)  (5,2)   (5,3)  (5,4)   (5,5)  (5,6)  (5,7)  (5,8)\r\n" );
document.write( "\r\n" );
document.write( "(6,1)  (6,2)   (6,3)  (6,4)   (6,5)  (6,6)  (6,7)  (6,8)\r\n" );
document.write( "\r\n" );
document.write( "(7,1)  (7,2)   (7,3)  (7,4)   (7,5)  (7,6)  (7,7)  (7,8)\r\n" );
document.write( "\r\n" );
document.write( "(8,1)  (8,2)   (8,3)  (8,4)   (8,5)  (8,6)  (8,7)  (8,8)\r\n" );
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document.write( "Therefore P(10) is 7 out of 64 or \"7%2F64\"\r\n" );
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document.write( "-------------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "The throws with sum 11 are in red:\r\n" );
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document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  (1,6)  (1,7)  (1,8)\r\n" );
document.write( "\r\n" );
document.write( "(2,1)  (2,2)   (2,3)  (2,4)   (2,5)  (2,6)  (2,7)  (2,8)\r\n" );
document.write( "\r\n" );
document.write( "(3,1)  (3,2)   (3,3)  (3,4)   (3,5)  (3,6)  (3,7)  (3,8)\r\n" );
document.write( "\r\n" );
document.write( "(4,1)  (4,2)   (4,3)  (4,4)   (4,5)  (4,6)  (4,7)  (4,8)\r\n" );
document.write( "\r\n" );
document.write( "(5,1)  (5,2)   (5,3)  (5,4)   (5,5)  (5,6)  (5,7)  (5,8)\r\n" );
document.write( "\r\n" );
document.write( "(6,1)  (6,2)   (6,3)  (6,4)   (6,5)  (6,6)  (6,7)  (6,8)\r\n" );
document.write( "\r\n" );
document.write( "(7,1)  (7,2)   (7,3)  (7,4)   (7,5)  (7,6)  (7,7)  (7,8)\r\n" );
document.write( "\r\n" );
document.write( "(8,1)  (8,2)   (8,3)  (8,4)   (8,5)  (8,6)  (8,7)  (8,8)\r\n" );
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document.write( "Therefore P(11) is 6 out of 64 or \"6%2F64\" which reduces to \"3%2F32\"\r\n" );
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document.write( "-------------------------------------------------\r\n" );
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document.write( "The throws with sum 14 are in red:\r\n" );
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document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  (1,6)  (1,7)  (1,8)\r\n" );
document.write( "\r\n" );
document.write( "(2,1)  (2,2)   (2,3)  (2,4)   (2,5)  (2,6)  (2,7)  (2,8)\r\n" );
document.write( "\r\n" );
document.write( "(3,1)  (3,2)   (3,3)  (3,4)   (3,5)  (3,6)  (3,7)  (3,8)\r\n" );
document.write( "\r\n" );
document.write( "(4,1)  (4,2)   (4,3)  (4,4)   (4,5)  (4,6)  (4,7)  (4,8)\r\n" );
document.write( "\r\n" );
document.write( "(5,1)  (5,2)   (5,3)  (5,4)   (5,5)  (5,6)  (5,7)  (5,8)\r\n" );
document.write( "\r\n" );
document.write( "(6,1)  (6,2)   (6,3)  (6,4)   (6,5)  (6,6)  (6,7)  (6,8)\r\n" );
document.write( "\r\n" );
document.write( "(7,1)  (7,2)   (7,3)  (7,4)   (7,5)  (7,6)  (7,7)  (7,8)\r\n" );
document.write( "\r\n" );
document.write( "(8,1)  (8,2)   (8,3)  (8,4)   (8,5)  (8,6)  (8,7)  (8,8)\r\n" );
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document.write( "Therefore P(14) is 3 out of 64 or \"3%2F64\"\r\n" );
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document.write( "-------------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "The throw with sum 16 is in red:\r\n" );
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document.write( "(1,1)  (1,2)   (1,3)  (1,4)   (1,5)  (1,6)  (1,7)  (1,8)\r\n" );
document.write( "\r\n" );
document.write( "(2,1)  (2,2)   (2,3)  (2,4)   (2,5)  (2,6)  (2,7)  (2,8)\r\n" );
document.write( "\r\n" );
document.write( "(3,1)  (3,2)   (3,3)  (3,4)   (3,5)  (3,6)  (3,7)  (3,8)\r\n" );
document.write( "\r\n" );
document.write( "(4,1)  (4,2)   (4,3)  (4,4)   (4,5)  (4,6)  (4,7)  (4,8)\r\n" );
document.write( "\r\n" );
document.write( "(5,1)  (5,2)   (5,3)  (5,4)   (5,5)  (5,6)  (5,7)  (5,8)\r\n" );
document.write( "\r\n" );
document.write( "(6,1)  (6,2)   (6,3)  (6,4)   (6,5)  (6,6)  (6,7)  (6,8)\r\n" );
document.write( "\r\n" );
document.write( "(7,1)  (7,2)   (7,3)  (7,4)   (7,5)  (7,6)  (7,7)  (7,8)\r\n" );
document.write( "\r\n" );
document.write( "(8,1)  (8,2)   (8,3)  (8,4)   (8,5)  (8,6)  (8,7)  (8,8)\r\n" );
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document.write( "Therefore P(16) is 1 out of 64 or \"1%2F64\"\r\n" );
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document.write( "-------------------------------------------------\r\n" );
document.write( "Edwin
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