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?
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
350 Choice D is correct. It’s given that at a movie theater, there are a total of customers and that each customer is located in either theater A, theater B, or 0.48 theater C. If the probability of selecting a customer in theater A is , then 0.48 350 168 ^ h^ h, or , customers are located in theater A. If the probability of 0.24 0.24 350 84 selecting a customer in theater B is , then ^ h^ h, or , customers are 168+84 252 located in theater B. It follows that there are , or , customers in 350-252 98 theater A and theater B. Therefore, there are , or , 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.
Loading…
Searched on YouTube by topic, not by question text. Open this search on YouTube →
Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.