Question

If you pick a card, replace it in a deck of 52 cards, and choose a second card, what is P(2, then Jack)? Enter you answer as a fraction.

Answer 1

Ways of choosing two cards from a deck of 52 with replacement is:

52^2 =2704

Ways of choosing card 2 = 4

Ways of choosing Jack = 4

Ways of choosing card 2 and then Jack =

4^2 = 16

Assuming a randomly shuffled deck, random selection of cards and subsequent replacement of chosen cards, the probability of choosing card 2 and then Jack =

16 / 2704 = 16 • 1 / 16 • 169 =

1 / 169