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: Calculate the number of possible outcomes for letter - tile pick

There are 3 letter tiles (A, B, C), so there are 3 possible outcomes for picking a letter tile.

Step2: Calculate the number of possible outcomes for number - tile pick

There are 3 number tiles (1, 2, 3), so there are 3 possible outcomes for picking a number tile.

Step3: Use the multiplication principle for sample - space size

The total number of outcomes in the sample space is the product of the number of outcomes of each event. So, the size of the sample space is \(3\times3=9\).

Answer:

9