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.

Answer 1

(a) Only E occurs: E \ F' \ G'
(b) Both E and G, but not F, occur: E \ F' \ G
(c) At least one of the events occurs: E ∪ F ∪ G