Question

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

• A. $\frac{1}{3}$
• B. $\frac{2}{5}$
• C. $\frac{2}{3}$
• D. $\frac{1}{2}$

Answer 1

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

Total possible outcomes for a single die $=6$

Composite number is a number which is greater than 1 but not a prime number.

$\therefore$ numbers of getting a composite number $=2$

$i.e4$ and $6$.

$P\left(A\right)=\frac{Numberoffavourableoutcomes}{TotalNumberofpossibleoutcomes}$

$\therefore P\left(A\right)=\frac{2}{6}=\frac{1}{3}$

hence option $A$ is correct.