Question

Two dice are thrown simultaneously, the probability of obtaining a total score of $5$ is

• A. $\frac{1}{18}$
• B. $\frac{1}{12}$
• C. $\frac{1}{9}$
• D. $\frac{1}{6}$

Answer 1

Answer: (C)

Given two dice are thrown simultaneously.
$\because$ Total number of outcomes $=36$
Also, sum of numbers is $5$,
i.e. $\{(1,4),(2,3),(3,2)$, $(4,1)\}$
$\therefore $ Favourable outcomes $=4$
$\therefore $ Required probability $=\frac{4}{36}=\frac{1}{9}$