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To solve this question, let's break it down using the probabilities given and the total number of customers.

### Step-by-Step Solution

1. **Identify total customers**: We know there are a total of \( 350 \) customers in the theater.

2. **Define probabilities**:
   - The probability of selecting a customer in theater A is \( 0.48 \).
   - The probability of selecting a customer in theater B is \( 0.24 \).
   - Let \( P(C) \) represent the probability of selecting a customer in theater C.

3. **Calculate probability for theater C**:
   Since the sum of probabilities for all theaters must be 1, we have:
   \[
   P(A) + P(B) + P(C) = 1
   \]
   Substituting the known values:
   \[
   0.48 + 0.24 + P(C) = 1
   \]
   Solving for \( P(C) \):
   \[
   P(C) = 1 - 0.48 - 0.24 = 0.28
   \]

4. **Calculate the number of customers in theater C**:
   The number of customers in theater C is \( P(C) \times 350 \):
   \[
   0.28 \times 350 = 98
   \]

### Answer
The correct answer is:
**D) 98**

Would you like a deeper explanation or have any further questions?

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Here are 5 related questions for practice:

1. If the probability of selecting a customer in theater A was 0.50, how many would be in theater C?
2. What if the probability for theater B was increased to 0.30; how would that affect the count in theater C?
3. How many customers would be in theater A with a probability of 0.48?
4. How would the solution change if there were 400 customers in total?
5. If the probabilities for theaters A and B were equal, what would the probability for theater C be?

**Tip:** Always verify that probabilities add up to 1 when solving probability distribution questions like this one.

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?

Learn how to determine the number of customers in theater C given probabilities for theaters A and B. This problem involves basic probability and algebra, making it suitable for students in Grades 7-9. Total customers: 350, Probability in A: 0.48, Probability in B: 0.24.

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