Use the sample space shown in the figure to find the probability of rolling two dice that add to seven.
A) P(seven) =
B) P(seven) =
C) P(seven) =
D) P(seven) =
E) P(seven) =

Question

Use the sample space shown in the figure to find the probability of rolling two dice that add to seven. ​  ​
A) ​P​(seven) = 
B) ​​P​(seven) = 
C) ​​P​(seven) = 
D) ​​P​(seven) = 
E) ​​P​(seven) =

Quizplus · Accepted Answer

To find the probability of rolling two dice that add to seven, we need to find all the possible pairs of numbers whose sum is seven. From the sample space in the figure, we can see that there are six pairs of numbers that add up to seven: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). Since each die has six sides, the total number of possible outcomes is 6 × 6 = 36. Therefore, the probability of rolling two dice that add to seven is 6/36, which simplifies to 1/6. The answer that matches this probability is C.

Use the Sample Space Shown in the Figure to Find