document.write( "Question 970803: A bag contains 12 balls numbered from 1 to 12. Two balls are selected from the bag at the same time \r
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Algebra.Com's Answer #593467 by Edwin McCravy(20055)\"\" \"About 
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document.write( "Here is the complete sample space S.  It contains 12C2 = 12*11/2 = 66 elements,\r\n" );
document.write( "called 'outcomes'. \r\n" );
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document.write( "S = { {1,2}, {1,3}, {1,4}, {1,5}, {1,6}, {1,7}, {1,8}, {1,9}, {1,10}, {1,11}, {1,12},\r\n" );
document.write( "{2,3}, {2,4}, {2,5}, {2,6}, {2,7}, {2,8}, {2,9}, {2,10}, {2,11}, {2,12}, {3,4}, \r\n" );
document.write( "{3,5}, {3,6}, {3,7}, {3,8}, {3,9}, {3,10}, {3,11}, {3,12}, {4,5}, {4,6}, {4,7},\r\n" );
document.write( "{4,8}, {4,9}, {4,10}, {4,11}, {4,12}, {5,6}, {5,7}, {5,8}, {5,9}, {5,10}, {5,11}, \r\n" );
document.write( "{5,12}, {6,7}, {6,8}, {6,9}, {6,10}, {6,11}, {6,12}, {7,8}, {7,9}, {7,10}, {7,11}, \r\n" );
document.write( "{7,12}, {8,9}, {8,10}, {8,11}, {8,12}, {9,10}, {9,11}, {9,12}, {10,11}, {10,12}, {11,12} }\r\n" );
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document.write( "Here is the event E (subset of the above sample space) such that the two\r\n" );
document.write( "numbers in each outcome differ by 4. It contains 8 outcomes:\r\n" );
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document.write( "E = { {1,5}, {2,6}, {3,7}, {4,8}, {5,9}, {6,10}, {7,11}, {8,12} }\r\n" );
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document.write( "The complement of E consists of all the outcomes of S other than the\r\n" );
document.write( "ones in E.\r\n" );
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document.write( "Therefore the complement of E contains 66 - 8 = 58 outcomes. Here is E',\r\n" );
document.write( "or EC.\r\n" );
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document.write( "E' = EC = { {1,2}, {1,3}, {1,4}, {1,6}, {1,7}, {1,8}, {1,9}, {1,10}, {1,11}, {1,12},\r\n" );
document.write( "{2,3}, {2,4}, {2,5}, {2,7}, {2,8}, {2,9}, {2,10}, {2,11}, {2,12},\r\n" );
document.write( "{3,4}, {3,5}, {3,6}, {3,8}, {3,9}, {3,10}, {3,11}, {3,12},\r\n" );
document.write( "{4,5}, {4,6}, {4,7}, {4,9}, {4,10}, {4,11}, {4,12}, \r\n" );
document.write( "{5,6}, {5,7}, {5,8}, {5,10}, {5,11}, {5,12}, \r\n" );
document.write( "{6,7}, {6,8}, {6,9}, {6,11}, {6,12}, \r\n" );
document.write( "{7,8}, {7,9}, {7,10}, {7,12}, \r\n" );
document.write( "{8,9}, {8,10}, {8,11},\r\n" );
document.write( "{9,10}, {9,11}, {9,12},\r\n" );
document.write( "{10,11}, {10,12}, {11,12} }\r\n" );
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document.write( "Answer: 58 outcomes\r\n" );
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document.write( "Edwin
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