Question

A die is rolled. Find the probability that the number of dots on its upper face is a odd prime number.

• A. $0$
• B. $\frac{1}{2}$
• C. $\frac{1}{3}$
• D. $1$

Answer 1

Answer: (C)

$\frac{1}{3}$

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

Let $A$ be the event of getting an odd prime number.

$\therefore$ $A=\{3,5\}$

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

$\therefore$ The probability that the number of dots on its upper face is a odd prime number is $\frac{1}{3}$