document.write( "Question 1054169: Consider Experiment of rolling a pair of six-sided dice. Suppose we are interested in the sum of values showing on the dice: a) How many sample points are possible? b) What is the probability of obtaining a value of 7? c) What is the probability of obtaining a value of 9 or greater? \n" ); document.write( "

Algebra.Com's Answer #669377 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

Here are all possible rolls of a pair of six-sided dice:\r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" );
document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" );
document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" );
document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) \r\n" );
document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) \r\n" );
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\n" ); document.write( "a) How many sample points are possible?
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document.write( "Count them.  I count 36. \r\n" );
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\n" ); document.write( "b) What is the probability of obtaining a value of 7?
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\r\n" );
document.write( "Let's color those red with sum 7:\r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" );
document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" );
document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" );
document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) \r\n" );
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.  I count 6. That's a probability of 6 out of 36,\r\n" );
document.write( "or 6/36, which reduces to 1/6.\r\n" );
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\n" ); document.write( "c) What is the probability of obtaining a value of 9 or greater?
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\r\n" );
document.write( "Let's color those red with sum 9 or greater:\r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" );
document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" );
document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" );
document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) \r\n" );
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.  I count 10. That's a probability of 10 out of 36,\r\n" );
document.write( "or 10/36, which reduces to 5/18.\r\n" );
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document.write( "Edwin

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