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

To find the probability that a customer will be seated at a round table or by the window, we can use the formula for the probability of the union of two events:

[tex]\[ P(\text{Round or Window}) = P(\text{Round}) + P(\text{Window}) - P(\text{Round and Window}) \][/tex]

Here’s a step-by-step breakdown:

1. Identify the total number of tables: There are 60 tables in total.

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 located by the window: There are 6 round tables by the window.

5. Calculate the probability for round tables alone:
- Number of round tables = 38

6. Calculate the probability for tables by the window alone:
- Number of window tables = 13

7. Calculate the overlap (tables that are both round and by the window):
- There are 6 tables that are counted as both round and by the window.

8. Use the formula to get the probability:
- Add the number of round tables and the number of window tables, then subtract the overlap (to avoid double-counting those tables that are both).
- [tex]\[ 38 + 13 - 6 = 45 \][/tex]

9. Calculate the probability:
- The probability is [tex]\(\frac{45}{60}\)[/tex].

Therefore, the correct answer is:

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