Question

A die is thrown once. Find the probability of getting a number which
(i) a prime number; (ii) a number lying between $2$ and $6$;

Answer 1

Sample space $=\{$ $1,2,3,4,5,6\}$

i) $P($Prime number$)=\frac{\text{Number of prime numbers}}{\text{Sample space}}$

$P($Prime number$)=\frac{3}{6}=\frac{1}{2}$

ii) $P($Number between $2$ and $6=\frac{3}{6}=\frac{1}{2}$