Chapter 13.5, Problem 2CFU

To determine

To describe:The sample space for the probability $P\left(\text{face card}\right)$ provided that card drawn is black.

Answer to Problem 2CFU

The sample space for the probability $P\left(\text{face card}\right)$ provided that card drawn is blackis $\left\{J\text{ spade,}Q\text{ spade},K\text{ spade},J\text{ club},Q\text{ club},K\text{ club}\right\}$ .

Explanation of Solution

Given information:

The first event is a black card is drawn then a face is drawn from it.

Consider the first event is a black card is drawn then a face is drawn from it.

There are 52 cards. There are 26 black cards and 6 black face cards.

Two black suits are spade and club.

Therefore, the sample space is $\left\{J\text{ spade,}Q\text{ spade},K\text{ spade},J\text{ club},Q\text{ club},K\text{ club}\right\}$ .