Outcome a b c d e Probability 0.1 0.67 0.1 0.03 (a) P({a, c, e}) P({a, c, e}) = (b) P(E ∪ F), where E = {a, c, e} and F = {b, c, e} P(E ∪ F) = (c) P(E'), where E is as in part (b) P(E') = (d) P(E ∩ F ), where E and F are as in part (b)

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Outcome a b c d e Probability 0.2 0.01 0.5 0.09   (a) P({a, c, e}) P({a, c, e}) =  (b) P(E ∪ F), where E = {a, c, e} and F = {b, c, e} P(E ∪ F) =  (c) P(E ′), where E is as in part (b) P(E ′) =  (d) P(E ∩ F ), where E and F are as in part (b)

How do I prove this?