At a movie theater, there are a total of 350 customers. Each customer is located in either theater A, theater B, or theater C. If one of these customers is selected at random, the probability of selecting a customer who is located in theater A is 0.48, and the probability of selecting a customer who is located in theater B is 0.24. How many customers are located in theater C?

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Choice D is correct. It’s given that at a movie theater, there are a total of 350 customers and that each customer is located in either theater A, theater B, or theater C. If the probability of selecting a customer in theater A is 0.48, then (0.48)(350), or 168, customers are located in theater A. If the probability of selecting a customer in theater B is 0.24, then (0.24)(350), or 84, customers are located in theater B. It follows that there are 168 + 84, or 252, customers in theater A and theater B. Therefore, there are 350 − 252, or 98, customers in theater C. Choice A is incorrect. This is the percent, not the number, of the customers that are located in theater C. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect. This is the number of customers that are located in theater B, not theater C.

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