Ralph and melissa watch lots of videos. but they have noticed that they don't agree very often. in fact, ralph only likes about 10% of the movies that melissa likes, i. e., p(ralph likes a movie|melissa likes the movie) = .10 they both like about 37% of the movies that they watch. (that is, ralph likes 37% of the movies he watches, and melissa likes 37% of the movies she watches.) if they randomly select a movie from a video store, what is the probability that they both will like it? prob. =

There is a 3.7% probability that they both will like it.

Step-by-step explanation:

We can solve this problem using the Bayes rule derivation from conditional probability.

Bayes rule:

What is the probability of B, given that A?

In this problem, we have that:

is the probability that Ralph likes the movie, given that Melissa likes. The problem states that this is 10%. So

is the probability that Melissa likes the movie. The problem states that .

If they randomly select a movie from a video store, what is the probability that they both will like it?

This is .

There is a 3.7% probability that they both will like it.

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step-by-step explanation:

step-by-step explanation:

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