Question

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

Answer 1

Answer:

1/169.

Step-by-step explanation:

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

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

Required probability = 1/13 * 1/13

= 1/169.

Answer 2

Answer:

$\frac{4}{663}$

Step-by-step explanation:

A standard deck without jokers is 52 cards. Selecting a Jack would have a $\frac{1}{13}$ chance.

Then to select a 4 without replacing the Jack you took, you would have a $\frac{4}{51}$ chance.

$\frac{1}{13}*\frac{4}{51}=\frac{4}{663}$