Question

a box has three cards numbered 1, 2, and 3. a bag has three balls labeled a, b, and c. charlie will randomly pick a card from the box and record the number chosen. then he will randomly pick a ball from the bag and record the letter chosen. give the sample - space describing all possible outcomes. then give all of the outcomes for the event that the letter chosen is b. use the format 1a to mean that the number chosen is 1 and the letter chosen is a. if there is more than one element in the set, separate them with commas. sample space: event that the letter chosen is b :

Explanation:

Step1: List all combinations for sample - space

The card has 3 numbers (1, 2, 3) and the ball has 3 letters (A, B, C). The sample - space is all possible pairs.
1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C

Step2: Select outcomes with letter B

We go through the sample - space and pick the outcomes where the letter is B.
1B, 2B, 3B

Answer:

Sample space: 1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C
Event that the letter chosen is B: 1B, 2B, 3B