Question

A pair of dice is rolled, and the numbers showing are observed. List the sample space of this experiment.

Answer 1

The sample space of rolling a pair of dice is the set of all possible outcomes when the two dice are rolled. Each die has six sides numbered 1 through 6, so there are 6 possible outcomes for each die. The sample space can be listed as a set of ordered pairs representing the numbers showing on each die.

Step-by-step explanation:

The sample space of rolling a pair of dice is the set of all possible outcomes when the two dice are rolled. Each die has six sides, numbered 1 through 6, so there are 6 possible outcomes for each die. To find the sample space, we need to list all the possible outcomes when rolling two dice:

1. (1,1)
2. (1,2)
3. (1,3)
4. (1,4)
5. (1,5)
6. (1,6)
7. (2,1)
8. (2,2)
9. (2,3)
10. (2,4)
11. (2,5)
12. (2,6)
13. (3,1)
14. (3,2)
15. (3,3)
16. (3,4)
17. (3,5)
18. (3,6)
19. (4,1)
20. (4,2)
21. (4,3)
22. (4,4)
23. (4,5)
24. (4,6)
25. (5,1)
26. (5,2)
27. (5,3)
28. (5,4)
29. (5,5)
30. (5,6)
31. (6,1)
32. (6,2)
33. (6,3)
34. (6,4)
35. (6,5)
36. (6,6)