We are drawing two cards without replacement from a standard​ 52-card deck. Find the probability that we draw at least one face card .

Question

Type as an integer or a simplified fraction

Answer 1

Pr(F>0) = 1-Pr(F=0)

there are 12 face cards, 3 in each of 4 suits

and 40 cards that are not face cards

probability of no face card = 40/52 x 39/51 = 10/13 x 39/51 =30/51= 10/17

probability of at least one face card = 1-10/17 = 7/17 = about 41.2% chance