document.write( "Question 1095414: A poker hand consisting of 5 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 4 face cards.
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Algebra.Com's Answer #709982 by Edwin McCravy(20060)\"\" \"About 
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document.write( "A deck of cards contains 3 kids of face cards, Jack, Queen, and King \r\n" );
document.write( "of 4 different suits, which is 12 face cards.  Therefore it contains\r\n" );
document.write( "52-12 or 40 non-face cards\r\n" );
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document.write( "The hand may contain any of 12C4 or 495 different groups of 4 face cards.\r\n" );
document.write( "The hand's 5th non-face card could be any of the 40 non-face cards.  So\r\n" );
document.write( "the number of possible hands that contain exactly 4 face cards and 1 non-\r\n" );
document.write( "face card is 495×40 = 19800\r\n" );
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document.write( "The total number of possible 5-card poker hands is 52C5 = 2598960\r\n" );
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document.write( "So the probability is 19800/2598960 \r\n" );
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document.write( "Reduce by dividing top and bottom by 120\r\n" );
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document.write( "Answer = 165/21658, or about 0.0076\r\n" );
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document.write( "Edwin
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