Let S = {1, 2, 3, 4, 5, 6}, E = {1, 3, 5}, F = {2, 4, 6} and G = {3, 4}. Are the events F and G complementary?

Name: Let S = {1, 2, 3, 4, 5, 6}, E = {1, 3, 5}, F = {2, 4, 6} and G = {3, 4}. Are the events F and G complementary?
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Question

Quizplus · Accepted Answer

Two events are complementary if their union covers the entire sample space and their intersection is empty. However, F and G have an intersection of {4}, so they are not complementary.