Select the correct answer.

A restaurant has a total of 60 tables. Of those tables, 38 are round and 13 are located by the window. There are 6 round tables by the window. If tables are randomly assigned to customers, what is the probability that a customer will be seated at a round table or by the window?

A. [tex]\frac{45}{60}[/tex]
B. [tex]\frac{47}{60}[/tex]
C. [tex]\frac{29}{60}[/tex]
D. [tex]\frac{41}{60}[/tex]

To solve the probability problem, we need to determine the probability that a customer will be seated at a round table or by the window.

We'll follow these steps:

1. Identify Total Tables:
- The total number of tables in the restaurant is 60.

2. Count Round Tables:
- There are 38 round tables.

3. Count Window Tables:
- There are 13 tables situated by the window.

4. Identify Overlap (Round and Window Tables):
- Among those tables, there are 6 that are both round and by the window.

5. Apply the Inclusion-Exclusion Principle:
- To find the number of tables that are either round or by the window, we use the formula:

[tex]\[
\text{Number of Round or Window Tables} = \text{Round Tables} + \text{Window Tables} - \text{Round and Window Tables}
\][/tex]

- Plug in the values:

[tex]\[
38 + 13 - 6 = 45
\][/tex]

6. Calculate the Probability:
- The probability that a customer gets a table that is either round or by the window is the ratio of the qualifying tables to the total number of tables:

[tex]\[
\text{Probability} = \frac{\text{Number of Round or Window Tables}}{\text{Total Tables}} = \frac{45}{60}
\][/tex]

7. Simplify the Probability:
- [tex]$\frac{45}{60}$[/tex] simplifies to [tex]$\frac{3}{4}$[/tex], which is equivalent to 0.75.

Based on this solution, the correct answer is:

A. [tex]$\frac{45}{60}$[/tex]