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

To find the probability that a customer will be seated at a round table or by the window, follow these steps:

1. Identify the Total Number of Tables:
- The restaurant has a total of 60 tables.

2. Identify the Number of Round Tables:
- There are 38 round tables.

3. Identify the Number of Tables by the Window:
- There are 13 tables located by the window.

4. Identify the Number of Round Tables by the Window:
- There are 6 round tables by the window.

5. Calculate the Number of Tables that are Either Round or by the Window:
- To find this, we need to combine the round tables and the window tables, but be careful to not double-count the tables that are both round and by the window.
- The formula is:
[tex]\[
\text{Tables that are either round or by the window} = (\text{round tables}) + (\text{window tables}) - (\text{round tables by the window})
\][/tex]
- Substitute in the numbers:
[tex]\[
38 + 13 - 6 = 45
\][/tex]

6. Calculate the Probability:
- The probability is the number of tables that are either round or by the window divided by the total number of tables:
[tex]\[
\text{Probability} = \frac{45}{60}
\][/tex]

7. Simplify the Probability:
- Simplifying [tex]$\frac{45}{60}$[/tex] gives [tex]$\frac{3}{4}$[/tex], which can be expressed as a decimal: 0.75, or it remains [tex]$\frac{45}{60}$[/tex] if simplified form isn't required.

With this detailed explanation, the probability of a customer being seated at a round table or by the window is [tex]$ \frac{45}{60} $[/tex]. Therefore, the correct answer from the given options is:

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