SOLUTION: Find the probability of getting four face cards (king, queen, or jack) when 4 cards are drawn from a deck without replacement. Enter answer as a fraction.

Question 1081712: Find the probability of getting four face cards (king, queen, or jack) when 4 cards are drawn from a deck without replacement. Enter answer as a fraction.
Found 2 solutions by Fombitz, math_helper:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

There are initially 12 face cards in the deck.
We are interested in the case that we draw 4 consecutive face cards on a draw of 4 cards. That means the first one has a probability of 12/52 of being drawn, that would leave 11 face cards among the remaining 51 cards, etc. Similar logic applies to the remaining draws.
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P(4 face cards drawn) = (12/52)*(11/51)*(10/50)*(9/49)
which reduces to (3/13)*(11/51)*(1/5)*(9/49) = 297 / 162435 =
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