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You choose two different movies on a list at random. Out of 15 movies on the list, 9 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.

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Final answer:

The probability that the second movie is also an action movie is 4/7.

Step-by-step explanation:

To find the probability that the second movie is also an action movie, we need to consider the remaining movies after choosing the first action movie.

Since there are 9 action movies out of 15 total movies, the probability of choosing an action movie as the second movie is 8 out of the remaining 14 movies.

Therefore, the probability is written as 8/14, which can be simplified to 4/7.

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