CA Foundation · Quantitative Aptitude · Probability
Two events A and B of a random experiment cannot occur together in any single trial. Which of the following describes A and B?
The events are mutually exclusive. Two events that cannot happen together in one trial have no common outcome, so the probability of both occurring is zero. Independence and exhaustiveness describe different properties, and neither is implied by the statement given in the question.
- AMutually exclusive eventsCorrect
- BIndependent events
- CExhaustive events
- DEqually likely events
Explanation
Events that cannot occur together in a single trial are mutually exclusive, so P(A and B) = 0. Independent events are different: they can occur together, and the occurrence of one does not affect the probability of the other. Exhaustive events must together cover the entire sample space, which the statement does not say.
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