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

Question

Mathematics

Carley Murillo

12 January, 08:02

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

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Kennedy Yates · 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)