3.1 Exercise 3

A fair, six-sided die is rolled. Describe the sample space S, identify each of the following events with a subset of S and compute its probability (an outcome is the number of dots that show up).

1. Event T = the outcome is two.
2. Event A = the outcome is an even number.
3. Event B = the outcome is less than four.
4. The complement of A.
5. A $\left|\right.$ B
6. B $\left|\right.$ A
7. A $\cap$ B
8. A $\cup$ B
9. A $\cup$ B′
10. Event N = the outcome is a prime number.
11. Event I = the outcome is seven.