What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?
A) $\frac { 31 } { 36 }$
B) $\frac { 5 } { 18 }$
C) $\frac { 13 } { 18 }$
D) $\frac { 1 } { 3 }$
E) $\frac { 5 } { 36 }$

Question

Quizplus · Accepted Answer

There are 36 possible outcomes when rolling a pair of dice, and 5 of these outcomes result in a sum of at least 6 (namely, (1,5), (2,4), (3,3), (4,2), and (5,1)). Therefore, the probability of obtaining a sum of at least 6 is $\frac{5}{36}$, which is closest to $\frac{1}{3}$, or $\frac{12}{36}$. The only answer choice that is closest to $\frac{1}{3}$ is (C), $\frac{13}{18}$.

What Is the Probability of Obtaining a Sum of at Least