Assertion (A): The probability of an event ...

CBSE Class 10 Basic Math 2026 All Sets Solved Paper

Question : 20 of 20

Marks: +1, -0

Assertion (A): The probability of an event can not be

\frac{1}{0.9}

Reason (R): 0 ≤ P(E) ≤ for an event E.

A statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

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

Solution:

Assertion (A): Value of

\frac{1}{0.9} = \frac{10}{9} \approx 1.11

Since 1.11 > 1, the probability of an event cannot be

\frac{1}{0.9}

Assertion is true.

Reason (R): The probability P(E) of any event E always lies between 0 and 1, inclusive.

0 \le P(E) \le 1

Reason is true.

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

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