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 4.

A) $\frac { 8 } { 9 }$
B) $\frac { 1 } { 6 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 9 }$
E) $\frac { 1 } { 12 }$

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 4.
 
A) $\frac { 8 } { 9 }$
B)   $\frac { 1 } { 6 }$
C)   $\frac { 1 } { 4 }$
D)   $\frac { 1 } { 9 }$
E)   $\frac { 1 } { 12 }$

Quizplus · Accepted Answer

The possible outcomes that result in a sum of 4 are (1,3), (2,2), and (3,1), making a total of 3 outcomes. Since there are 36 possible outcomes when two dice are rolled (6 outcomes for the first die multiplied by 6 outcomes for the second die), the probability is 3/36, which simplifies to 1/12.

A Pair of Dice Is Cast, and the Number That 89\frac { 8 } { 9 }98​

A Pair of Dice Is Cast, and the Number That $\frac { 8 } { 9 }$