Question

Assertion (A): The probability of randomly drawing a card with an even number from a box containing cards numbered 1 to 100 is \[\frac{1}{2}\].

Reason (R): \[P\text{ (event)}=\frac{\text { number of favourable outcomes }}{\text { total number of possible outcomes }}\]

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 and Reason (R) is a correct explanation of Assertion (A).

Explanation:

Step 1 – Assertion: A is true. Of the 100 cards, 50 are even-numbered.

Step 2 – Reason: R is true. It gives the formula for finding the probability of an event.

Step 3 – Link: Applying the stated formula gives \[P(\text{even number})=\frac{50}{100}=\frac{1}{2}.\] Thus, R correctly explains A.