Question

Two dice are thrown at a time, find the probability of same number on both dice.

• A. $\frac{1}{3}$
• B. $\frac{1}{6}$
• C. $\frac{1}{12}$
• D. $\frac{1}{4}$

Answer 1

Answer: (B)

$\frac{1}{6}$

When two dice are thrown than total no.of outcomes,n(S)$=6\times 6=36$

The favorable outcomes are$=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)$

$\Rightarrow$The number of favorable outcomes,n(E)=6

$\therefore Probability=\frac{n\left(E\right)}{n\left(S\right)}=\frac{6}{36}=\frac{1}{6}$