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Assertion (A): The probability of a certain event E is 1. Reason (R): The sum of probabilities of all elementary events of an experiment is 1. - Mathematics

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Question

Assertion (A): The probability of a certain event E is 1.

Reason (R): The sum of probabilities of all elementary events of an experiment is 1.

Options

  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

  • Assertion (A) is true, but Reason (R) is false.

  • Assertion (A) is false, but Reason (R) is true.

MCQ
Assertion and Reasoning
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Solution

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Explanation:

Assertion (A) is true: The probability of a certain or sure event is always 1, as it is guaranteed to happen.

Reason (R) is true: In any experiment, the sum of the probabilities of all possible elementary events all individual outcomes is always 1.

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2025-2026 (March) Basic - 430/2/1
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