document.write( "Question 1181172: five cards are dealt from a well shuffled deck what is the probability that all are face cards \n" ); document.write( "

Algebra.Com's Answer #811020 by greenestamps(13198) $\"\"$ $\"About$

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\n" ); document.write( "The solution from the other tutor shows one standard method for finding the probability for a problem like this.

\n" ); document.write( "There is another basic method you should know, since it is more useful when the problems get more involved.

\n" ); document.write( "You are choosing 5 cards from a deck of 52 cards; the number of ways you can do that is \"52 choose 5\" = C(52,5).

\n" ); document.write( "The outcome you want is that all 5 cards are face cards. There are 12 face cards in the deck, so the number of favorable outcomes is 12 choose 5 = C(12,5).

\n" ); document.write( "The probability of drawing all face cards is then

\n" ); document.write( " $\"C%2852%2C5%29%2FC%2812%2C5%29\"$ which is about 0.00030474, or 0.03%.

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