Question

Two dice of different colours are thrown simultaneously. The probability that the sum of the faces appeared is either $7$ or $11$ is

• A. $\frac{7}{36}$
• B. $\frac{4}{9}$
• C. $\frac{2}{3}$
• D. $\frac{5}{9}$
• E. $\frac{2}{9}$

Answer 1

The correct option is E $\frac{2}{9}$

Note : Correct option not in the question paper.

Two different colours dice thrown simultaneously so sample space is $6^2=36$
Probability that sum of faces $7$ is $\left\{\right(1,6\left)\right(2,5),(3,4),(4,3),(5,2),(6,1\left)\right\}$
Probability that sum of faces $11$ is $\left\{\right(5,6\left)\right(6,5\left)\right\}$
Required probability $=\frac{8}{36}=\frac{2}{9}$