In throwing a six-faced die, let A be the event that an even number occurs, B be the event that an odd number occurs, and C be the event that a number - Mathematics MCQ Mathematics Mock Test - 5 2026 | ExamTest.live

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In throwing a six-faced die, let A be the event that an even number occurs, B be the event that an odd number occurs, and C be the event that a number greater than 3 occurs. Which one of the following is correct?

Solution & Step-by-step Explanation

Sample space S = {1, 2, 3, 4, 5, 6} Event A (Even) = {2, 4, 6} Event B (Odd) = {1, 3, 5} Event C (> 3) = {4, 5, 6} Mutually exclusive means intersection is empty (\emptyset). A \cap C = {4, 6} \neq = \emptyset A \cap B = \emptyset B \cap C = {5} \neq = \emptyset Thus, A and B are mutually exclusive.

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In throwing a six-faced die, let A be the event that an even number occurs, B be the event that an odd number occurs, and C be the event that a number greater than 3 occurs. Which one of the following is correct?

A and C are mutually exclusive

A and B are mutually exclusive

B and C are mutually exclusive

A, B and C are mutually exclusive

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