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

Question

1. Let S = {1, 2, 3, 4, 5, 6}, E = {1, 2, 5}, F = {2, 4, 6}, and G = {2, 3}. Are the events F and G mutually exclusive? A) yes B) no 2. Let S = {1, 2, 3, 4, 5, 6}, E = {2, 4, 6}, F = {1, 3, 5}, and G = {3, 4}. Are the events F and G complementary? A) no B) yes 3. Let S = {x, y, z} be a sample space of an experiment with outcomes x, y, and z. List all the events of this experiment. A) ?, {x}, {y}, {z}, {x, y}, {x, z}, {y, z}, S B) {x}, {y}, {z} C) ?, {x}, {y}, {z}, {x, y}, {x, z}, {y, z} D) {x}, {y}, {z}, {x, y}, {x, z}, {y, z}

Explanation / Answer

1. Let

S = {1, 2, 3, 4, 5, 6},

E = {1, 2, 5},

F = {2, 4, 6}, and

G = {2, 3}.

Are the events F and G mutually exclusive?

B) no

2. Let S = {1, 2, 3, 4, 5, 6}, E = {2, 4, 6}, F = {1, 3, 5}, and G = {3, 4}.

Are the events F and G complementary?

A) no

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