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

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

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

2. Identify Round Tables and Window Tables:
- The number of round tables is 38.
- The number of tables by the window is 13.

3. Identify Overlap (Round Tables by the Window):
There are 6 tables that are both round and by the window.

4. Calculate the Number of Tables that are Either Round or by the Window:
Use the principle of inclusion and exclusion to avoid double-counting the tables that are both round and by the window.

[tex]\[
\text{Number of tables either round or by the window} = (\text{Number of round tables}) + (\text{Number of window tables}) - (\text{Number of round tables by the window})
\][/tex]

Plugging in the numbers:

[tex]\[
38 \, (\text{round tables}) + 13 \, (\text{window tables}) - 6 \, (\text{round tables by the window}) = 45
\][/tex]

5. Calculate the Probability:
The probability is the ratio of the number of tables that are either round or by the window to the total number of tables.

[tex]\[
\text{Probability} = \frac{\text{Number of tables either round or by the window}}{\text{Total number of tables}} = \frac{45}{60}
\][/tex]

6. Simplify the Fraction:

[tex]\[
\frac{45}{60} = \frac{3}{4} = 0.75
\][/tex]

Thus, the probability that a customer will be seated at a round table or by the window is:

[tex]\[
\boxed{\frac{45}{60}}
\][/tex]

In this problem, this fraction simplifies to one of the provided multiple-choice answers:

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