3-35. Suppose we toss a single fair six-sided die and we observe the face showing.

Given the following events:

A: an even number occurs;

B: an odd number occurs; and C: a 3 or 4 occurs,

determine if:

(a) A and B are independent

(b) A and C are independent

(c) B and C are independent

(d) A and B are mutually exclusive

(e) B and C are mutually exclusive