Question

What is the probability that 2 cards selected from a standard deck of 52 cards without replacement are both non-face cards?

A. 0.412


B. 0.588


C. 1.534


D. 0.408

Answer 1

B. 0.588

Explanation:

There are 40 non-face cards in the deck, so the probability of drawing the first one is 40/52. After doing that, the probability of drawing the second one is 39/51, since the number of non-face cards is 1 fewer, as is the size of the deck.

The joint probability is then ...

(40/52)·(39/51) ≈ 0.588