Question

A dice is rolled twice. What is the probability that the sum of the numbers on the two faces is $5$?

• A. $\frac{3}{13}$
• B. $\frac{4}{13}$
• C. $\frac{6}{13}$
• D. $\frac{1}{9}$

Answer 1

The correct option is D $\frac{1}{9}$

When a dice is rolled twice total number of Sample Space = 36
Sample Space for the Sum of the numbers on 2 Faces is $s=(1,4)(2,3)(3,2)(4,1)$
i.e. n(E) = 4
P(E) = $\frac{4}{36}=\frac{1}{9}$