Two events A and B are mutually exclusive with P(A) = 0.2 and P(B) = 0.5. What is P(A or B)?

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Multiple Choice

Two events A and B are mutually exclusive with P(A) = 0.2 and P(B) = 0.5. What is P(A or B)?

Explanation:
Mutually exclusive means the events cannot happen at the same time, so there is no overlap between them. The probability of A or B is the sum of their probabilities: P(A ∪ B) = P(A) + P(B) when A and B are mutually exclusive. Here that’s 0.2 + 0.5 = 0.7. Since there’s no overlap to subtract, this straight sum gives the correct result.

Mutually exclusive means the events cannot happen at the same time, so there is no overlap between them. The probability of A or B is the sum of their probabilities: P(A ∪ B) = P(A) + P(B) when A and B are mutually exclusive. Here that’s 0.2 + 0.5 = 0.7. Since there’s no overlap to subtract, this straight sum gives the correct result.

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