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{41}{60}[/tex]
C. [tex]\frac{47}{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, we can follow these steps:

1. Identify the total number of tables:
The restaurant has a total of 60 tables.

2. Determine the number of round tables:
There are 38 round tables.

3. Determine the number of tables by the window:
There are 13 tables located by the window.

4. Find the number of tables that are both round and by the window:
Out of these, 6 tables are round and also by the window.

5. Calculate the number of tables that are either round or by the window:
To avoid counting the tables that are both round and by the window twice, we use the formula:
[tex]\[
\text{Round or Window Tables} = \text{Round Tables} + \text{Window Tables} - \text{Round and Window Tables}
\][/tex]
Substituting the numbers:
[tex]\[
\text{Round or Window Tables} = 38 + 13 - 6 = 45
\][/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]\[
\text{Probability} = \frac{\text{Round or Window Tables}}{\text{Total Tables}} = \frac{45}{60}
\][/tex]
Simplifying [tex]$\frac{45}{60}$[/tex] gives you [tex]$\frac{3}{4}$[/tex].

Now, returning to the options, the fraction [tex]$\frac{45}{60}$[/tex] matches option A. Therefore, the probability that a customer will be seated at a round table or by the window is:

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