Question

Assertion (A): The probability of getting a prime number, when a die is thrown once, is \[\frac{2}{3}.\]

Reason (R): On the faces of a die, prime numbers are 2, 3 and 5.

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

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

Explanation:

Step 1 – Assertion: A is false. There are 3 prime-number outcomes among the 6 faces, so the probability is \[\frac{3}{6}=\frac{1}{2},\] not \[\frac{2}{3}.\]

Step 2 – Reason: R is true. The prime numbers on a standard die are 2, 3 and 5.