Question

A pair of dice is thrown. The probability of getting a total of $12$ is........

• A. $\frac{2}{7}$
• B. $\frac{3}{7}$
• C. $\frac{1}{36}$
• D. $\frac{5}{36}$

Answer 1

The correct option is C $\frac{1}{36}$

Given: a pair of dice thrown, $n\left(S\right)=6\times 6=36$

To find: The probability of getting a total of $12$

Solution: The possible outcomes for the sum of $12$ is $(6,6)$. $n\left(E\right)=1$

hence the probability of getting a total of 12 is $\frac{n\left(E\right)}{n\left(S\right)}=\frac{1}{36}$