Question

Two dice are thrown. The probability of getting a sum of less than $7$ points or a double is :

• A. $\frac{1}{6}$
• B. $\frac{1}{3}$
• C. $\frac{2}{3}$
• D. $\frac{1}{2}$

Answer 1

The correct option is D $\frac{1}{2}$

For getting a sum of less than 7 points or a double, combination is = (1,1),(1,2),(2,1),(1,3),(3,1),(2,2),(1,4),(4,1),(2,3),(3,2),(1,5),(5,1),(2,4),(4,2),(3,3),(4,4),(5,5),(6,6)
Total ways = 18
Probability = 18/36 = 1/2