document.write( "Question 1075570: Roll two dice once. Let A be the event that the sum of the two dice is 10 and B be the event that at least one of the dice is odd.
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Algebra.Com's Answer #690230 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Roll two dice once. Let A be the event that the sum
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\r\n" );
document.write( "Here are all 36 possible dice rolls with the\r\n" );
document.write( "ones with sum 10 colored red:\r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
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document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)\r\n" );
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document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" );
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document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" );
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document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\r\n" );
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document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)\r\n" );
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document.write( "Count the red ones, there are 3.  \r\n" );
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document.write( "So P(A) is 3 out of 36 = 3/36 = 1/12\r\n" );
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\n" ); document.write( "...and B be the event that at least
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\r\n" );
document.write( "Here are all 36 possible dice rolls with the \r\n" );
document.write( "ones that have at least one of the dice odd in 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" );
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document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" );
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document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\r\n" );
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document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)\r\n" );
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document.write( "Count the red ones, there are 27.  \r\n" );
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document.write( "So P(B) is 27 out of 36 = 27/36 = 3/4\r\n" );
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\n" ); document.write( "c) Find the probability that the sum of the two dice is at least 9.
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\r\n" );
document.write( "\r\n" );
document.write( "Here are all 36 possible dice rolls with the\r\n" );
document.write( "ones with sum of the dice at least 9 colored 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" );
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document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)\r\n" );
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document.write( "Count the red ones, there are 10.  \r\n" );
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document.write( "So P(sum≥9) is 10 out of 36 = 10/36 = 5/18.\r\n" );
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document.write( "Edwin
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