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Suppose that you like about * of the movies that you see. Rotten Tomatoes is a website which certifies movies as either fresh or rotten. About * of movie you like are certified fresh on rotten tomatoes, and about * of movies you do not like are certified fresh. A new movie you are thinking about seeing is certified fresh. What is the probability that you will like it

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See the explanation.

Step-by-step explanation:

Let, in total I see 1000 movies.

It is given that 63.3% movies among them I like. Hence, I like 633 movies and do not like (1000 - 633) = 367 movies.

83.1% of the 633 movies are certified fresh. Hence, fresh movies which I like is 83.1% of 633 = [tex]\frac{83.1\times633}{100}[/tex]≅ 526 in number.

The number of rotten movies which I like is (633 - 526) = 107.

Similarly, the number of movies, which I do not like is 367.

Among them 18.7% of 367 = 69 are fresh and (367 - 696) = 298 movies are rotten.

Total number of fresh movies is (526 + 69) = 595.

The required probability is [tex]\frac{526}{595}[/tex] = 0.884.

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