Problem

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

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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