Question

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is $7$

Answer 1

Finding the probability of the numbers appearing on the dice is $7$:

Two dice are thrown at the same time.

possible outcomes

So, total number of possible outcomes$=36$

Sum of the numbers appearing on the dice is $7.$

So, the possible outcomes $=(1,6),(2,5),(3,4),(4,3),(5,2),(6,1).$

Hence, number of possible outcomes $=6$

Therefore, the probability that the sum of the numbers appearing on the dice is$7=\frac{6}{36}=\frac{1}{6}$

Hence, the probability is $\frac{1}{6}$.