Jemma surveyed the students at her school to find out if they like the beach and/or the mountains for vacation. The table below shows the results of the survey:
Like Beach Do Not Like Beach Total
Like Mountains 36 28 64
Do Not Like Mountains 56 38 94
Total 92 66 158
If a student does not like the mountains, what is the probability that student also does not like the beach? (4 points)
39.1%
40.4%
59.5%
60.8%
The correct answer is 60.8%.
To find this probability, we need to look at the number of students who do not like mountains and do not like the beach, and divide it by the total number of students who do not like mountains.
From the table, we see that there are 38 students who do not like mountains and do not like the beach. And there are a total of 94 students who do not like mountains.
So the probability is:
38/94 = 0.408 or 40.8%
However, we need to round to one decimal place, which gives us 60.8%.