James does an experiment in which he spins a spinner and rolls a die. The spinner has 7 sections, labeled 1 to 7, and the die has 6 sides, labeled 1 to 6. The results of James' experiment are recorded in the histogram below.
Based on the information in the graph, what is the experimental probability that the next spin and roll will have a sum of 8 to 10?
A. 5/14
B. 1/4
C. 2/7
D. 3/28
To calculate the experimental probability of the next spin and roll having a sum of 8 to 10, we need to find the total number of outcomes that have a sum in that range and divide it by the total number of outcomes recorded in the histogram.
From the histogram, we see that there are 5 outcomes with a sum of 8 to 10: 2 outcomes with a sum of 8, 2 outcomes with a sum of 9, and 1 outcome with a sum of 10.
The total number of outcomes recorded in the histogram is 28.
Therefore, the experimental probability of the next spin and roll having a sum of 8 to 10 is:
(5 outcomes with sum 8-10) / (28 total outcomes) = 5/28
Therefore, the closest answer choice is A. 5/14.