Question

there are three letter tiles - a, b, and c - in a bag, and there are three number tiles - 1, 2, and 3 - in another bag. alexis picks a letter tile, and then she picks a number tile. complete the table representing the sample space for this situation. the sample size of the event is

Explanation:

Step1: Determine the number of possible outcomes for each draw

There are 3 letter - tiles and 3 number - tiles. When picking a letter tile first and then a number tile, we use the multiplication principle of counting.

Step2: Calculate the size of the sample space

The number of ways to pick a letter tile is 3, and for each choice of letter tile, the number of ways to pick a number tile is 3. So the size of the sample space is \(3\times3=9\).

Answer:

9