Question

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

(A) 0

(B) \(\frac{1}{3}\)

(C) \(\frac{1}{12}\)

(D) \(\frac{1}{36}\)

Answer 1

There are only one even prime number, i.e., 2, when a dice is rolled, the probability of getting an even prime number = \(\frac{1}{6}\).

When two dice are rolled, the probability of getting an even prime number on each dice = \(\frac{1}{6}\) × \(\frac{1}{6}\) = \(\frac{1}{36}\)