Question

In a single throw of two dice, the probability of getting a sum of $10$ is:

• A. $\frac{1}{12}$
• B. $\frac{1}{36}$
• C. $\frac{1}{6}$
• D. none of the above

Answer 1

The correct option is A $\frac{1}{12}$

$E$ $=\left[\right(4,6),(5,5),(6,4\left)\right]$
$n\left(E\right)=3$
$n\left(S\right)=$Sample space $=6\times 6=36$
$\therefore$ probability$=\frac{n\left(E\right)}{n\left(S\right)}=\frac{3}{36}=\frac{1}{12}$