Question

Two symmetrical dice are rolled. The probability that sum of the points on them is divisible by $5$ is

• A. $\frac{2}{9}$
• B. $\frac{4}{9}$
• C. $\frac{7}{36}$
• D. $\frac{5}{9}$

Answer 1

The correct option is C $\frac{7}{36}$

Sum of the points on them is divisible by $5$ $=(1,4),(4,1),(2,3),(3,2),(4,6),(5,5),(6,4)$
Total number of ways $=7$
Total ways of throwing the pair of dice $=36$
Hence, the required probability $=\frac{7}{36}$