Question 1206793: Suppose you are conducting an experiment to determine the preferences of Netflix users regarding movie genres.
You have gathered data from 800 users, and the results show that:
400 users have rated action movies as their favorite genre.
200 users have rated romance movies as their favorite genre.
300 users have rated comedy movies as their favorite genre.
250 users have rated sci-fi movies as their favorite genre.
Additionally, the data shows the following overlaps in preferences:
100 users have rated both action and romance movies as their favorite genres.
50 users have rated both action and comedy movies as their favorite genres.
75 users have rated both action and sci-fi movies as their favorite genres.
60 users have rated both romance and comedy movies as their favorite genres.
40 users have rated both romance and sci-fi movies as their favorite genres.
30 users have rated both comedy and sci-fi movies as their favorite genres.
10 users have rated comedy, sci-fi, and romance movies as their favorite genres.
What is the probability that a user likes action and romance but not comedies?
Answer by ikleyn(52824)   (Show Source):
You can put this solution on YOUR website! .
Suppose you are conducting an experiment to determine the preferences of Netflix users regarding movie genres.
You have gathered data from 800 users, and the results show that:
400 users have rated action movies as their favorite genre.
200 users have rated romance movies as their favorite genre.
300 users have rated comedy movies as their favorite genre.
250 users have rated sci-fi movies as their favorite genre.
Additionally, the data shows the following overlaps in preferences:
100 users have rated both action and romance movies as their favorite genres.
50 users have rated both action and comedy movies as their favorite genres.
75 users have rated both action and sci-fi movies as their favorite genres.
60 users have rated both romance and comedy movies as their favorite genres.
40 users have rated both romance and sci-fi movies as their favorite genres.
30 users have rated both comedy and sci-fi movies as their favorite genres.
10 users have rated comedy, sci-fi, and romance movies as their favorite genres.
What is the probability that a user likes action and romance but not comedies?
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