example of compound events of getting the probability of people like genre of movies
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example of compound events of getting the probability of people like genre of movies
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An example of a compound event for getting the probability of people liking a certain genre of movies would be as follows:
Suppose we have a group of 100 movie-goers and we want to know the probability of selecting two people at random from the group who both like action movies. We can break this down into two events:
Event A: The first person we select likes action movies, which has a probability of, say, 0.4.
Event B: The second person we select also likes action movies, given that the first person already likes action movies. This conditional probability could be, say, 0.2.
To find the probability of both events happening, we can use the multiplication rule of probability. Thus, the probability of selecting two people at random from the group who both like action movies would be:
P(A and B) = P(A) x P(B|A) = 0.4 x 0.2 = 0.08
This means that the probability of selecting two people at random from the group who both like action movies is 0.08 or 8%.