Question

If two dice are thrown simulteneously, then the probability that the sum of the numbers which come up on the dice to be more than $5$ is

• A. $\frac{5}{36}$
• B. $\frac{1}{6}$
• C. $\frac{5}{18}$
• D. $\frac{13}{18}$

Answer 1

The correct option is D $\frac{13}{18}$

Probability of getting sum more than $5$ $=1-$ Probability of getting sum less than or equal to $5$
We can get sum less than or equal to $5$ are $(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1)$
So the probability of getting sum more than $5=1-\frac{10}{36}=\frac{13}{18}$