document.write( "Question 1123858: A local election will be held with 12 candidates running for a new county governing board. Four candidates will be elected to the board. Of the 12 running, 6 are Democrats, 4 are Republicans, and 2 are Independents. What is the probability of electing all Democrats to the board? \n" ); document.write( "
Algebra.Com's Answer #740268 by ikleyn(52788)\"\" \"About 
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document.write( "With 12 candidates, there are  \"C%5B12%5D%5E4\" = \"%2812%2A11%2A10%2A9%29%2F%281%2A2%2A3%2A4%29\" = 495  ways to form different groups of 4 persons.\r\n" );
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document.write( "With 6 Democrats, there are  \"C%5B6%5D%5E4\" = \"%286%2A5%2A4%2A3%29%2F%281%2A2%2A3%2A4%29\" = 15  ways to form different groups of 4 persons.\r\n" );
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document.write( "The probability under the question is the ratio of these two numbers, i.e.  \"15%2F495\" = \"1%2F33\" = 0.03030 = 3.03%.\r\n" );
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