SOLUTION: if you are dealt 5 cards from a deck of 52 cards, find the probability that all 5 cards are picture cards

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Question 376332: if you are dealt 5 cards from a deck of 52 cards, find the probability that all 5 cards are picture cards
Found 2 solutions by Edwin McCravy, edjones:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
There are 12 picture cards, 4 Jacks, 4 Queens, and 4 Kings.

So there are "12 choose 5" ways to choose 5 picture cards.

There are 52 cards in the deck.

So there are "52 choose 5" ways to choose any 5 cards.

So the desired probability is 12C5 ways out of 52C5 or

12C5      792         33
---- = --------- = -------- = 0.0003047372795
52C5    2598960     108290 


Edwin

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=Cobination of n things taken r at a time=n!/((n-r)!r!)
There are 12 picture cards in a deck.
12C5/52C5
=792/2598960
=.0003047