Question

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

• A. $\frac{1}{34}$
• B. $\frac{1}{36}$
• C. $\frac{1}{32}$
• D. $\frac{1}{30}$

Answer 1

Answer: (B)

$\frac{1}{36}$

Answer 2

Since, three dice are rolled.
$\therefore \,$Total number of cases S = 6 x 6 x 6 = 216
and the same number appear on each of them =$6C_1 =6$
$\therefore \,$ Required probability =$\frac{6}{216}=\frac{1}{36}$