Answer :
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:
- According to the information provided, there are a total of 60 tables in the restaurant.
2. Identify the Number of Round Tables:
- There are 38 round tables at the restaurant.
3. Identify the Number of Tables by the Window:
- There are 13 tables located by the window.
4. Determine the Number of Tables that are Both Round and by the Window:
- We are given that there are 6 tables that are both round and located by the window.
5. Calculate the Number of Tables that are Either Round or by the Window:
- To find the number of tables that are either round or by the window, we add the number of round tables to the number of window tables and then subtract the tables that are both round and by the window (since we've counted them twice in the previous step):
[tex]\[
\text{Number of tables that are either round or by the window} = 38 + 13 - 6 = 45
\][/tex]
6. Calculate the Probability:
- The probability that a randomly assigned table will be either round or by the window is the number of tables that are either round or by the window divided by the total number of tables:
[tex]\[
\text{Probability} = \frac{45}{60}
\][/tex]
Therefore, the probability that a customer will be seated at a table that is either round or by the window is [tex]\(\frac{45}{60}\)[/tex], which corresponds to answer choice A.
1. Identify the Total Number of Tables:
- According to the information provided, there are a total of 60 tables in the restaurant.
2. Identify the Number of Round Tables:
- There are 38 round tables at the restaurant.
3. Identify the Number of Tables by the Window:
- There are 13 tables located by the window.
4. Determine the Number of Tables that are Both Round and by the Window:
- We are given that there are 6 tables that are both round and located by the window.
5. Calculate the Number of Tables that are Either Round or by the Window:
- To find the number of tables that are either round or by the window, we add the number of round tables to the number of window tables and then subtract the tables that are both round and by the window (since we've counted them twice in the previous step):
[tex]\[
\text{Number of tables that are either round or by the window} = 38 + 13 - 6 = 45
\][/tex]
6. Calculate the Probability:
- The probability that a randomly assigned table will be either round or by the window is the number of tables that are either round or by the window divided by the total number of tables:
[tex]\[
\text{Probability} = \frac{45}{60}
\][/tex]
Therefore, the probability that a customer will be seated at a table that is either round or by the window is [tex]\(\frac{45}{60}\)[/tex], which corresponds to answer choice A.
