Complete the following probability distribution table and then calculate the stated probabilities.

Question

Outcome a b c d e
Probability 0.1 1Your answer is correct. 0.43 0.1 0.27
(a) P({a, c, e}).
2Your answer is correct.

(b) P(E ∪ F), where E = {a, c, e} and F = {b, c, e},
P(E ∪ F) = 3Your answer is correct.

(c) P(E'), where E is as in part (b),
P(E') = 4Your answer is incorrect.

(d) P(E ∩ F ), where E and F are as in part (b).
P(E ∩ F) = 5.