Question

A fair dice is rolled. If the number turned out is odd, then the probability that it is a prime number is $\frac{x}{3}$. Then x is ___ .

Answer 1

Total sample space consists of odd numbers i.e. 3. Since there are 3 odd numbers,

Number of favourable outcomes (Odd Prime) = 2

3 and 5 are the only odd primes.

P(E) = $\frac{2}{3}$