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]

Sure! Let's go through the steps to find the probability that a customer will be seated at a round table or by the window.

1. Understand the given information:
- Total tables: 60
- Round tables: 38
- Tables by the window: 13
- Round tables by the window: 6

2. Identify the relevant sets:
- [tex]$R$[/tex]: Set of round tables.
- [tex]$W$[/tex]: Set of tables by the window.
- [tex]$R \cap W$[/tex]: Set of round tables by the window.

3. Calculate the number of tables that are round or by the window using the principle of inclusion-exclusion:
[tex]\[
\text{Tables that are round or by the window} = \text{Round tables} + \text{Window tables} - \text{Round tables by the window}
\][/tex]
Plugging in the values:
[tex]\[
38 + 13 - 6 = 45
\][/tex]

So, there are 45 tables that are either round or by the window.

4. Calculate the probability:
[tex]\[
\text{Probability} = \frac{\text{Number of tables that are round or by the window}}{\text{Total number of tables}}
\][/tex]
[tex]\[
= \frac{45}{60}
\][/tex]
[tex]\[
= \frac{3}{4}
\][/tex]
[tex]\[
= 0.75
\][/tex]

5. Convert the probability to a fraction:
The fraction form of 0.75 is [tex]$\frac{45}{60}$[/tex]. Simplifying it:
[tex]\[
\frac{45}{60} = \frac{3 \times 15}{4 \times 15} = \frac{3}{4}
\][/tex]

Since the final result in the answer choices is given without needing simplification, we should select the equivalent fraction:
[tex]\[
\frac{45}{60}
\][/tex]

Therefore, the correct answer is:
[tex]\[
\boxed{\frac{45}{60}}
\][/tex]

So, the correct answer in the given choices is [tex]$ \boxed{\frac{45}{60}} $[/tex].