Probability Geometry

Question

What is the probability of randomly drawing 1 card that is both a club card and a face card, out of a standard deck of 52 playing cards?

(Remember that face cards are jacks, queens, and kings.)

Enter your answer as a fraction, using the / symbol, like this: 5/14

Answer 1

There are 13 clubs in a deck of cards and 12 face cards (4 each of K, Q, J). Three have been repeated so they are both clubs and face cards K club, Q club, J club. The probability is part over whole so 3/52 = .0577 which is about 5.8%