a box has three cards numbered 1, 2, and 3. a bag has three balls labeled a, b, and c. chang will randomly…

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

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

Answer

Explanation:

Step1: List all combinations for sample - space

The card numbers are 1, 2, 3 and the ball - labels are A, B, C. The sample space is the set of all possible pairs. $1A,1B,1C,2A,2B,2C,3A,3B,3C$

Step2: Identify outcomes for the event

The event is that the letter chosen is A. We pick out the pairs where the second element is A. $1A,2A,3A$

Answer:

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