Question

A dice is thrown. What is the probability of getting a composite number ?

• A. $\frac{2}{3}$
• B. $\frac{1}{3}$
• C. $\frac{1}{2}$
• D. $\frac{1}{6}$

Answer 1

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

Sample space of the experiment is
$S=\{1,2,3,4,5,6\}$
Let $A$ be event ''getting a composite number''
$A=\{4,6\}$
$\therefore P\left(A\right)=\frac{n\left(A\right)}{n\left(S\right)}=\frac{2}{6}=\frac{1}{3}$