6. 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 occurs;

(c) at least one of the events occurs;

(d) at least two of the events occur;

(e) all three occur,

(f) none of the events occurs;

(g) at most one of them occurs;

(h) at most two of them occur;

(i) exactly two of them occur;

(j) at most three of them occur.