Let A and B be two mutually exclusive events. Let P(×) denote the probability. Which of the following statements is true? - Mathematics MCQ Mathematics Mock Test - 6 2026 | ExamTest.live

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Let A and B be two mutually exclusive events. Let P (\cdot) denote the probability. Which of the following statements is true?

Solution & Step-by-step Explanation

Two events A and B are mutually exclusive if they cannot occur at the same time. This means their intersection is an empty set: A \cap B = \emptyset ⟹ P (A \cap B) = 0 Using the addition theorem of probability: P (A \cup B) = P (A) + P (B) - P (A \cap B) Since P (A \cap B) = 0 : P (A \cup B) = P (A) + P (B)

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Let A and B be two mutually exclusive events. Let P (\cdot) denote the probability. Which of the following statements is true?

P (A \cap B) = P (A) P (B)

P (A \cap B) = P (A) + P (B)

P (A \cup B) = P (A) + P (B)

P (A \cup B) = P (A) P (B)

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