Question

When two dice are rolled, the probability that the sum of points on them is even or less than 5 points is

• A. $\frac{7}{9}$
• B. $\frac{5}{9}$
• C. $\frac{4}{9}$
• D. $\frac{3}{9}$

Answer 1

Answer: (B)

$\frac{5}{9}$

Cases in which sum of points on them is even or less than $5$ points are $(1,1),(1,3),(1,5),(3,1),(3,3),(3,5),(5,1),(5,3),(5,5),(2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6),(1,2),(2,1)$
Number of ways $=20$
Total number of cases $=36$
Hence, required probability $=\frac{20}{36}=\frac{5}{9}$