Three identical dice are rolled. The probability that the same nu… - Vidyadip

MCQ

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

A
$\frac{1}{6}$
✓
$\frac{1}{36}$
C
$\frac{1}{18}$
D
$\frac{3}{28}$

✓

Answer

Correct option: B.

$\frac{1}{36}$

(B)
As $\{(1,1,1),(2,2,2),(3,3,3),(4,4,4)$, $(5,5,5),(6,6,6)$, are only favourable outcomes
⇒ Required probability $=\frac{6}{216}=\frac{1}{36}$

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