document.write( "Question 1145671: A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 6 face cards. \n" ); document.write( "

Algebra.Com's Answer #767098 by VFBundy(438) $\"\"$ $\"About$

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There are 12 face cards in a deck of 52 cards. This means there are 40 non-face cards in a deck of 52 cards.
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\n" ); document.write( "(Ways to choose 6 face cards * Ways to choose 1 non-face card) DIVIDED BY (Ways to choose 7 cards)
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\n" ); document.write( "(12C6 * 40C1)/52C7
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\n" ); document.write( " $\"12%21%2F%286%21%2A6%21%29\"$ * $\"40%21%2F%281%21%2A39%21%29\"$
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\n" ); document.write( " $\"52%21%2F%287%21%2A45%21%29\"$
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\n" ); document.write( "= (924 * 40)/133784560
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\n" ); document.write( "= 36960/133784560
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\n" ); document.write( "= 0.00028 \n" ); document.write( "

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