Liana surveyed the students at her school to find out if they like cooking and/or shopping. The table below shows the results of the survey:
Like Cooking
Do Not Like Cooking
Total
Like Shopping
40
17
57
Do Not Like Shopping
18
3
21
Total
58
20
78
If a student likes shopping, what is the probability that student also likes cooking? (1 point)
51.3%
68.9%
70.2%
73.1%
To find the probability that a student who likes shopping also likes cooking, we use the formula for conditional probability:
P(Likes Cooking | Likes Shopping) = P(Likes Cooking and Likes Shopping) / P(Likes Shopping)
From the table:
P(Likes Cooking and Likes Shopping) = 40
P(Likes Shopping) = 57
Therefore, P(Likes Cooking | Likes Shopping) = 40/57 ≈ 0.7018
So, the probability that a student who likes shopping also likes cooking is approximately 70.2%.
Therefore, the answer is 70.2%