Question

Find the number of possible outcomes in the sample space. The chess club must decide when and where to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday. The possible times are 3, 4, or 5PM. There are nine classrooms available.

Answer 1

Solution

- The number of possible outcomes in the sample space is simply gotten by multiplying out all the events together.

- There are 3 possible days: Tuesday, Wednesday, or Thursday. Thus, there are 3 possible outcomes.

- There are 3 possible times: 3PM, 4PM, or 5PM. Thus, there are 3 possible outcomes again.

- There are also 9 possible classrooms available meaning another 9 possible outcomes.

- Thus, the total possible outcomes in the sample space is

$3\times3\times9=81\text{ possible outcomes}$