Question

a box has three cards numbered 1, 2, and 3. a bag has three balls labeled a, b, and c. laura will randomly pick a card from the box and record the number chosen. then she 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 number chosen is 2. 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 number chosen is 2 :

Explanation:

Step1: Find sample - space

For each number from the box, there are 3 possible letters from the bag. So we list all combinations.
1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C

Step2: Find outcomes for number 2

We select the combinations where the number is 2.
2A, 2B, 2C

Answer:

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