Consider two independent events, A and B. Let the probability of event A happening be r and the probability of event B happening be s. What is the expression that represents the probability of either event A or event B occurring, but not both?

Answer Choices

Correct answer marked below

r − 2rs

s − rs

r + s − 2rs

Correct

r + s − rs

r + s

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Explanation

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Official Explanation

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For independent events A and B, the probability of exactly one of them occurring can be calculated using the formula: P(A or B but not both) = P(A) + P(B) -…

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Comments

AndrewFeb 13, 2025

Thank for sharing!!!

AlkaFeb 15, 2025

thanks for the answer

GailJan 30, 2025

thanks for posting

What this question tests

What it tests

Your ability to compute probabilities of single and compound events, including 'at least one' questions.

Common trap

Forgetting to use the complement for 'at least one', or treating dependent events as independent.