Question

A dice is thrown once. Find the probability of getting a prime number lying between $2$ and $6$.

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $\frac{1}{4}$
• D. None of the above

Answer 1

The correct option is B $\frac{1}{3}$

Sample space $S=\{1,2,3,4,5,6\}$
Total number of events $=6$
A number lying between $2$ and $6$ is $\{3,5\}$
$\therefore$ $P$ (a number lying between $2$ and $6$) $=$ $\frac{2}{6}=\frac{1}{3}$