Solve the problem.
-Consider the sample space when two fair dice are rolled. Determine the probability for the following event. The sum of the numbers on the dice is less than 8.
A) $\frac { 13 } { 18 }$
B) $\frac { 5 } { 36 }$
C) $\frac { 5 } { 18 }$
D) $\frac { 7 } { 12 }$

Question

Solve the problem.
-Consider the sample space when two fair dice are rolled. Determine the probability for the following event. The sum of the numbers on the dice is less than 8. 
A) $\frac { 13 } { 18 }$
B) $\frac { 5 } { 36 }$
C) $\frac { 5 } { 18 }$
D) $\frac { 7 } { 12 }$

Quizplus · Accepted Answer

The total number of outcomes when two dice are rolled is 36 (6 outcomes for the first die multiplied by 6 outcomes for the second die). The outcomes where the sum is less than 8 are: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (5,1), (5,2), (6,1). This gives us 21 favorable outcomes. Therefore, the probability is 21/36, which simplifies to 7/12.

Solve the Problem 1318\frac { 13 } { 18 }1813​ B) 536\frac { 5 } { 36 }365​

Solve the Problem $\frac { 13 } { 18 }$ B) $\frac { 5 } { 36 }$