document.write( "Question 205507: Conditional Probability/Bayes' Formula/Independent Events
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\n" ); document.write( "\n" ); document.write( "A legislative committee consists of 7 Democrats, 5 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic:
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Algebra.Com's Answer #155146 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Conditional Probability/Bayes' Formula/Independent Events
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\n" ); document.write( "\n" ); document.write( "A legislative committee consists of 7 Democrats, 5 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic:
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document.write( "\"N things, CHOOSE R\" is calculated this way\r\n" );
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document.write( "      N*(N-1)*(N-2)···until there are R factors in the numerator\r\n" );
document.write( "NCR = ----------------------------------------------------------\r\n" );
document.write( "                                  R!\r\n" );
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\n" ); document.write( "a) How many different delegations are possible?
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document.write( "13 people, CHOOSE 3\r\n" );
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document.write( "\"13C3+=+%2813%2A12%2A11%29%2F%283%2A2%2A1%29+=+286\"\r\n" );
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\n" ); document.write( "b) How many different delegations consist of at least 1 Republican?
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document.write( "Note that \"AND\" usually means \"TIMES\":\r\n" );
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document.write( "\"5 Republicans, CHOOSE 1\" AND \"12 others, CHOOSE 2\":\r\n" );
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document.write( "\"%285C1%29%2A%2812C2%29=%285%2F1%29%2A%28%2812%2A11%29%2F%282%2A1%29%29+=+330\"\r\n" );
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document.write( "Edwin
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