Question

Three persons throw a single dice. Find the probability of getting the same number on all the dice.

• A. $\frac{1}{216}$
• B. $\frac{1}{6}$
• C. $\frac{1}{36}$
• D. $\frac{1}{108}$

Answer 1

Answer: (C)

$\frac{1}{36}$

Total number of outcomes when three dice are is rolled $=6\times 6\times 6$
Of these, $6$ outcomes have same number on all dice, which are $(1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)$
So, probability of getting same number on all dice, when three dice is tossed $=\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes}=\frac{6}{6\times 6\times 6}=\frac{1}{36}$