Question

A dice is thrown. Find the probability of getting a prime number

Answer 1

The sample space of the given experiment is given by
S = {1, 2, 3, 4, 5, 6}
∴ n (S) = 6

 Let A be the event of occurrence of a prime number.
    Then A = {2, 3, 5}
    i.e. n (A) = 3

\[\therefore P\left( A \right) = \frac{\text{ Number of outcomes favourable to A } }{\text{ Total number of possible outcomes } } = \frac{n\left( A \right)}{n\left( S \right)} = \frac{3}{6} = \frac{1}{2}\]