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Conditional Probability

A fair dice i...

Question

A fair dice is rolled. If the number turned out is odd what is the probability that it is a prime number?

A

1/6

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B

2/3

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C

1/3

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D

NOTA.

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Solution

The correct option is B
2/3

Total sample space consisting of odd numbers is 3 since there are 3 odd numbers

Favourable(Odd Prime)=2

3 and 5 are the only odd primes

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

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