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.
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