Answer: D. 11/221
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Work Shown:
For any given suit, there are 3 face cards: Jack, Queen, King.
There are 4 suits, leading to 4*3 = 12 face cards out of 52 total.
The probability of pulling out a face card is 12/52.
After that card is selected, we have 12-1 = 11 face cards left and 52-1 = 51 cards left overall. This is assuming a replacement is not made, or the card is not put back.
The probability of getting another face card, given the first selection was a face card, is 11/51.
Multiplying the two fractions gives:
P(2 face cards) = P(1st facecard)*P(2nd facecard given 1st facecard)
P(2 face cards) = (12/52)*(11/51)
P(2 face cards) = (12*11)/(52*51)
P(2 face cards) = (3*4*11)/(13*4*3*17)
P(2 face cards) = (11)/(13*17)
P(2 face cards) = 11/221