Kendall surveyed the students at her school to find out if they like horror movies and/or animated movies. The table below shows the results of the survey:
Like Horror Movies Do Not Like Horror Movies Total
Like Animated Movies 21 22 43
Do Not Like Animated Movies 56 3 59
Total 77 25 102
If a student likes horror movies, what is the probability that student also likes animated movies?
To find the probability that a student who likes horror movies also likes animated movies, we need to use the formula for conditional probability:
P(Likes Animated Movies | Likes Horror Movies) = P(Likes Animated Movies and Likes Horror Movies) / P(Likes Horror Movies)
From the table, we can see that there are 21 students who like both horror movies and animated movies, and the total number of students who like horror movies is 77.
P(Likes Animated Movies | Likes Horror Movies) = 21 / 77 ≈ 0.2727
Therefore, the probability that a student who likes horror movies also likes animated movies is approximately 0.2727 or 27.27%.