Question

Each of two persons a single throw with a dice What is the probability of getting the same number on both the dice?

• A. $\frac{1}{6}$
• B. $\frac{5}{6}$
• C. $\frac{1}{36}$
• D. $\frac{2}{3}$

Answer 1

The correct option is A $\frac{1}{6}$

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