Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?
A) $\frac{1}{9}$
B) $\frac { 2 } { 9 }$
C) $\frac { 1 } { 6 }$
D) $\frac { 1 } { 3 }$
E) $\frac { 1 } { 12 }$

Question

Quizplus · Accepted Answer

There are six possible outcomes of rolling two dice (1-1, 1-2, 1-3, 2-1, 2-2, etc.), and out of those six, there are two outcomes that add up to seven (1-6 and 2-5, and vice versa). Therefore, the probability of rolling a seven on the first roll is $$\frac{2}{6} = \frac{1}{3}.$$

Dice Is a Popular Game in Gambling Casinos 19\frac{1}{9}91​ B) 29\frac { 2 } { 9 }92​

Dice Is a Popular Game in Gambling Casinos $\frac{1}{9}$ B) $\frac { 2 } { 9 }$