A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a diamond, and let F be the event that the card drawn is a face card. Find the probability of P(D∩F).

Answer 1

P(D)= 1/4 = probability of a diamond, one of four cards are diamonds

P(F) = 3/13 = probability of a face card. 3 of 13 cards are face cards. 12 of the 52 card deck are face cards. 12/52 = 3/13

P(D)P(F) = 1/4 times 3/13 = 3/52.

Probability of getting a face card and a diamond are 3/52 = about 5.8%