Question

Two dice are thrown. What is the probability that the sum of the two dice is greater than $3$?

• A. $1/4$
• B. $3/4$
• C. $5/6$
• D. $11/12$
• E. $1$

Answer 1

The correct option is D $11/12$

• Probability that the sum of two dice is greater than $3$ is $1$ minus probability that the sum is less than or equal to $3$.
• probability that the sum is less than or equal to $3$ is $\frac{3}{36}=\frac{1}{12}$.
• So the probability that the sum is greater than $3$ is $1-1/12=11/12$.