Question

The probability of getting a sum of 13 when two dice are thrown simultaneously is___

• A. $\frac{1}{13}$
• B. $\frac{1}{36}$
• C. 0
• D. $\frac{1}{6}$

Answer 1

The correct option is C

0

In general, when a dice is rolled n times, the total number of outcomes is $6^n$. Here, since the dice is rolled twice, the total number of outcomes will be $6^2=36$.

We need to find the probability of getting a sum of 13 when two dice are thrown simultaneously.

Since it is not possible to get a sum of 13 when two dice are rolled, this is an impossible event and hence the number of favourable outcomes is zero.

$\therefore$ The probability of getting a sum of 13 = $\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$ = $\frac{0}{36}$ = 0