Question

Assertion (A): The probability of getting a doublet in a single throw of a pair of dice is \[\frac{1}{6}.\]

Reason (R): For any event \[A,\ 0\leq P(A)\leq 1.\]

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.

Answer 1

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. There are 6 doublets among 36 equally likely outcomes, so the probability is \[\frac{6}{36}=\frac{1}{6}.\]

Step 2 – Reason: R is true. The probability of any event lies between 0 and 1, inclusive.

Step 3 – Link: R states a general property of probability, but does not explain the count of doublet outcomes or the value in A.