Question

What is the probability of selecting a jack then a 4 from a deck of cards
with replacement?

Answer 1

`(4)/(663)`

Explanation:

A standard deck without jokers is 52 cards. Selecting a Jack would have a
`(1)/(13)` chance.

Then to select a 4 without replacing the Jack you took, you would have a
`(4)/(51)` chance.

`(1)/(13)*(4)/(51)=(4)/(663)`

Answer 2

1/169.

Explanation:

Prob( a jack) = 4/52 = 1/13

Prob( a 4) = 4/52 = 1/13

Required probability = 1/13 * 1/13

= 1/169.