Clara surveyed the students at her school to find out if they like pies and/or sandwiches. The results of her survey are shown in the two-way table below:

Like Pies

Do Not Like Pies

Total

Like Sandwiches

25

43

68

Do Not Like Sandwiches

26

6

32

Total

51

49

100

If a student does not like sandwiches, what is the probability that student also does not like pies? (5 points)

81.3%

26.0%

23.1%

18.8%

1 answer

To find the probability that a student does not like pies given that they do not like sandwiches, you need to use the number of students who do not like sandwiches and do not like pies, which is 6, divided by the total number of students who do not like sandwiches, which is 32.

Probability = 6/32 = 0.1875

Convert this to a percentage by multiplying by 100:

0.1875 x 100 = 18.75%

Therefore, the probability that a student does not like pies given that they do not like sandwiches is 18.8%.