A pair of dice is cast, and the number that appears uppermost on each die is observed.
Find the probability of the event that the sum of the numbers is 8.

A) $\frac { 2 } { 3 }$
B) $\frac { 5 } { 36 }$
C) $\frac { 17 } { 36 }$
D) $\frac { 31 } { 36 }$
E) $\frac { 2 } { 9 }$

Question

A pair of dice is cast, and the number that appears uppermost on each die is observed.  
Find the probability of the event that the sum of the numbers is 8.
 
A) $\frac { 2 } { 3 }$
B) $\frac { 5 } { 36 }$
C) $\frac { 17 } { 36 }$
D) $\frac { 31 } { 36 }$
E) $\frac { 2 } { 9 }$

Quizplus · Accepted Answer

The total number of possible outcomes when two dice are thrown is 6*6 = 36. The combinations that sum to 8 are (2,6), (3,5), (4,4), (5,3), and (6,2), totaling 5 outcomes. Therefore, the probability is 5/36.

A Pair of Dice Is Cast, and the Number That 23\frac { 2 } { 3 }32​

A Pair of Dice Is Cast, and the Number That $\frac { 2 } { 3 }$