Let E, F, and G be three events. Find expressions for the

QUESTION:

Let E, F, and G be three events. Find expressions for the events so that, of E, F, and G,

(a) only E occurs;

(b) both E and G, but not F, occur;

(c) at least one of the events occurs;

(d) at least two of the events occur;

(e) all three events occur;

(f) none of the events occurs;

(g) at most one of the events occurs;

(h) at most two of the events occur;

(i) exactly two of the events occur;

(j) at most three of the events occur.