Question

Three identical dice are rolled. The probability that same number will appear on each of them will be

• A. $\frac{1}{6}$
• B. $\frac{1}{36}$
• C. $\frac{1}{18}$
• D. $\frac{2}{38}$

Answer 1

The correct option is B

$\frac{1}{36}$

The explanation for the correct answer.

Find the probability?

Given: Three dice are rolled

Total sample space $=216$

The event that the same number will appear in each of them is $\left\{(1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)\right\}$

Required probability $=\frac{6}{216}=\frac{1}{36}$

Hence option (b) is the correct answer.