document.write( "Question 1162074: If there are 8 women and 4 men in a room and they put their names in a hat and then 3 names are selected at random, what is the probability of getting two men and one woman? \n" ); document.write( "
Algebra.Com's Answer #785778 by ikleyn(52790)\"\" \"About 
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document.write( "The probability is  P = \"%28C%5B8%5D%5E1%2AC%5B4%5D%5E2%29%2FC%5B12%5D%5E3\"     (*).\r\n" );
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document.write( "The denominator  of the formula  \"C%5B12%5D%5E3\" is the number of all possible triples to form of 12 = 8 + 4 persons.\r\n" );
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document.write( "It is equal to  \"C%5B12%5D%5E3\" = \"%2812%2A11%2A10%29%2F%281%2A2%2A3%29\" = 220.\r\n" );
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document.write( "The numerator of the formula  (*)  is the number to form the triples, formed of 1 woman and 2 men.\r\n" );
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document.write( "So, the answer is  P = \"%288%2A6%29%2F220\" = \"48%2F220\" = \"12%2F55\".\r\n" );
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