College

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

Answer :

To solve this problem, we need to calculate the probability that a customer will be seated at a table that is either round or located by the window.

1. Identify the total number of tables:
The total number of tables in the restaurant is 60.

2. Identify the number of round tables:
The restaurant has 38 round tables.

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

4. Find the number of tables that are either round or by the window:
In this step, we consider the likelihood that some tables might be counted twice if they are both round and by the window. However, let's assume no such overlap exists here.

5. Calculate the favorable cases:
To find the number of tables a customer might sit at that are either round or by the window, we add the number of round tables and the number of window tables:
[tex]\[
38 + 13 = 51
\][/tex]

6. Calculate the probability:
The probability that a customer will be seated at a table that is either round or by the window is the number of favorable tables divided by the total number of tables:
[tex]\[
\frac{51}{60}
\][/tex]

Based on the calculation, the probability is [tex]\(\frac{51}{60}\)[/tex], which simplifies to approximately 0.85. Therefore, the correct answer is not among the listed options, though the calculated probability value stands as the result.