Question

A card is chosen at random from a deck of 52 cards. It is replaced, and a second card is chosen. What is the probability that both cards chosen are jacks?. A.1over26, B.1over13, C.1over169, D.2over13

Answer 1

Answer is C. 1/169
first we find how many cards are jacks in a deck: 4 out of 52 cards.
4/52 = 1/13 ( We have a 1 in 13 chance of drawing a jack)
(1/13)(1/13) = 1/169
( because the first card is replaced, we know that we don't have to change probabilities)(it will still be a 4/52 chance of drawing a jack)