Two fair dice are rolled simultaneously. It is found that one of them shows odd prime numbers. The probability that remaining dice also shows an odd prime number, is equal to

1/3

The correct answer is OPTION 1 - 1/3

First, odd prime numbers on a die are:

• 3 and 5 (since 2 is prime but not odd)

So odd prime numbers on a die = {3, 5} → 2 numbers out of 6.

The question says:

• One die is already showing an odd prime number (either 3 or 5).

• Now, what's the probability that the other die also shows an odd prime number?

For the second die:

• Total possible outcomes = 6 (because a die has 6 faces).

• Favorable outcomes = 2 (either 3 or 5).

Thus,

Probability= 2/6 = 1/3​