Part A: Create your own experiment with 5 or more possible outcomes.

Question

Part B: Create the sample space for your experiment in Part A. Explain how you determined the sample space.

Answer 1

Part A:

Experiment: Rolling two fair six-sided dice and recording the sum of the numbers that appear on the top faces.

Possible outcomes:
1. The sum is 2.
2. The sum is 3.
3. The sum is 4.
4. The sum is 5.
5. The sum is 6.
6. The sum is 7.
7. The sum is 8.
8. The sum is 9.
9. The sum is 10.
10. The sum is 11.
11. The sum is 12.

Part B:

To determine the sample space, we need to consider all possible combinations of numbers that each die can land on. Since each die has six sides, there are 6 possible outcomes for each die. Thus, the total number of possible outcomes is 6 * 6 = 36.

The sample space for this experiment consists of the 11 possible outcomes (sums) that were listed in Part A. These outcomes are independent of each other, meaning the outcome of one die does not affect the outcome of the other die.