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Assertion (A): [\frac{7}{0.01}] cannot be the probability of occurrence of an event. Reason (R): The probability of an impossible event is 0.

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Question

Assertion (A): \[\frac{7}{0.01}\] cannot be the probability of occurrence of an event.

Reason (R): The probability of an impossible event is 0.

Options

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

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

  • Assertion (A) is true and Reason (R) is false.

  • Assertion (A) is false and Reason (R) is true.

MCQ
Assertion and Reasoning
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Solution

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

Explanation:

Step 1 – Assertion: A is true. \[\frac{7}{0.01} = 700\] and a probability cannot exceed 1.

Step 2 – Reason: R is true. The probability of an impossible event is 0.

Step 3 – Link: R is a true fact about impossible events, but it does not explain why the value in A cannot be a probability.

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Chapter 20: Additional Questions - Probability [Page 1068]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 20 Additional Questions
Probability | Q 2. | Page 1068
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