Question

Two packs of cards are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jacks? 

(a) 1/13 (b) 2/13 (c) 7/1339 (d) 1/169

Answer 1

(c) Total number of cards = 104 = 2 × 52

and total number of jacks = 8 = 2 × 4

∴ Probability for the jack in first draw = 8/104

and probability for the jack in second draw = 7/103

Since both the events are independent events.

Hence the probability that both of them are jacks.