# Moderate Probability Solved QuestionAptitude Discussion

 Q. When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?
 ✖ A. 5/6 ✔ B. 11/12 ✖ C. 1/6 ✖ D. 1/12

Solution:
Option(B) is correct

Instead of finding the probability of this event directly, we will find the probability of the non-occurrence of this event and subtract it from 1 to get the required probability.

Combination whose sum of 12 is (6,6)

Combinations whose sum of 11 is (5,6), (6,5).

Therefore, there are totally 3 occurrences out of 36 occurrences that satisfy the given condition.

Probability whose sum of two numbers is greater than or equal to 11:

$=\dfrac{3}{36}=\dfrac{1}{12}$

Hence probability whose sum of two numbers is lesser than 11:

$=1-\dfrac{1}{12}$

$=\dfrac{11}{12}$