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)

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.

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