Question

a box has three cards numbered 1, 2, and 3. a bag has three balls labeled a, b, and c bob 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 c. 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 c:

Explanation:

Step1: List all possible combinations

For each card number (1, 2, 3), combine with each ball label (A, B, C).

• When card number is 1: 1A, 1B, 1C
• When card number is 2: 2A, 2B, 2C
• When card number is 3: 3A, 3B, 3C

Step2: Identify outcomes for letter C

From the combinations above, pick those with letter C.

• 1C, 2C, 3C

Answer:

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