A coin is tossed, and then a die is rolled. List all equally likely outcomes in the sample space for this indicated experiment.
To list all the equally likely outcomes in the sample space for this experiment, we need to consider the possible outcomes for both the coin toss and the die roll.
1. Coin Toss:
- Heads (H)
- Tails (T)
2. Die Roll:
- Outcome 1 (1)
- Outcome 2 (2)
- Outcome 3 (3)
- Outcome 4 (4)
- Outcome 5 (5)
- Outcome 6 (6)
To get the complete list of equally likely outcomes in the sample space, we combine the outcomes of the coin toss and the die roll. For example, if the coin lands on Heads and the die shows Outcome 1, the outcome would be (H, 1).
List of all equally likely outcomes in the sample space:
1. (H, 1)
2. (H, 2)
3. (H, 3)
4. (H, 4)
5. (H, 5)
6. (H, 6)
7. (T, 1)
8. (T, 2)
9. (T, 3)
10. (T, 4)
11. (T, 5)
12. (T, 6)
This concludes the list of equally likely outcomes in the sample space for the given experiment.