3.1 Exercise 2

The sample space S is all the ordered pairs of two whole numbers, the first from one to three and the second from one to four (Example: (1, 4)).

1. S = _____________________________
   Let event A = the sum is even and event B = the first number is prime.
2. A = _____________________, B = _____________________
3. P(A) = _____________, P(B) = ________________
4. A $\cap$ B = ____________________, A $\cup$ B = ________________
5. P(A $\cap$ B) = _________, P(A $\cup$ B) = _____________
6. B′ = _____________, P(B′) = _____________
7. P(A) + P(A′) = ____________
8. P(A$\left|\right.$B) = ___________, P(B$\left|\right.$A) = _____________; are the probabilities equal?