In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?
A) $\frac { 7 } { 36 }$
B) $\frac { 2 } { 9 }$
C) $\frac { 1 } { 18 }$
D) $\frac { 1 } { 12 }$
E) $\frac { 1 } { 36 }$

Question

Quizplus · Accepted Answer

To get a total of three, the only possible rolls are 1 and 2 or 2 and 1. Each of these outcomes has probability 1/6 * 1/6 = 1/36. Therefore, the probability of getting a total of three on the first roll is 1/36 + 1/36 = 1/18.

In a Game of Dice, a Player Loses If the Outcome