At a movie theater, there are a total of 350 customers. Each customer is loed in either theater A, theater

Question

At a movie theater, there are a total of $350$ customers. Each customer is loed 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 loed in theater A is $0.48$ , and the probability of selecting a customer who is loed in theater B is $0.24$ . How many customers are loed in theater C?

A.

$28$

B.

$40$

C.

$84$

D.

$98$

Accepted Answer

Choice D is correct. It&rsquo;s given that at a movie theater, there are a total of 350 customers and that each customer is loed 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 loed in theater A. If the probability of selecting a customer in theater B is 0.24 , then 0.24 350 , or 84 , customers are loed 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 loed 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 loed in theater B, not theater C.

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