Two dice are rolled.
a. What is the probability that the sum of the dots on the upward faces is 7?
b. What is the probability that the sum of the dots on the upward faces is 13?
c. What is the probability that the sum of the dots on the upward faces is less than 16?
d. What is the probability that the sum of the dots on the upward faces is 4?
A) (a) $\frac { 1 } { 6 }$ ; (b) 0; (c) 1; (d) $\frac { 1 } { 18 }$
B) (a) $\frac { 7 } { 36 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 12 }$
C) (a) $\frac { 1 } { 6 }$ ; (b) 0; (c) 1; (d) $\frac { 1 } { 12 }$
D) (a) $\frac { 7 } { 36 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 18 }$
E) (a) $\frac { 1 } { 6 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 18 }$

Question

Two dice are rolled. 
a. What is the probability that the sum of the dots on the upward faces is 7?
b. What is the probability that the sum of the dots on the upward faces is 13?
c. What is the probability that the sum of the dots on the upward faces is less than 16?
d. What is the probability that the sum of the dots on the upward faces is 4?
A) (a) $\frac { 1 } { 6 }$ ; (b) 0; (c) 1; (d) $\frac { 1 } { 18 }$
B) (a) $\frac { 7 } { 36 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 12 }$
C) (a) $\frac { 1 } { 6 }$ ; (b) 0; (c) 1; (d) $\frac { 1 } { 12 }$
D) (a) $\frac { 7 } { 36 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 18 }$
E) (a) $\frac { 1 } { 6 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 18 }$

Quizplus · Accepted Answer

The probability of getting a sum of 7 is $\frac{1}{6}$ as there are 6 favorable outcomes out of 36. The sum of 13 is impossible with two dice, so the probability is 0. The sum is always less than 16, so the probability is 1. The probability of getting a sum of 4 is $\frac{1}{12}$ as there are 3 favorable outcomes out of 36.

Two Dice Are Rolled 16\frac { 1 } { 6 }61​

Two Dice Are Rolled $\frac { 1 } { 6 }$