A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3} and G = {2, 3, 4, 5} Find P (E|G) and P (G|E)
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Solution
When a fair die is rolled, the sample space S will be
S = {1, 2, 3, 4, 5, 6}
It is given that E = {1, 3, 5}, F = {2, 3}, and G = {2, 3, 4, 5}
:.P(E) = 3/6 = 1/2
P(F) = 2/6 = 1/3
P(G) = 4/6 = 2/3
E ∩ G = {3, 5}
Concept: Conditional Probability
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