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Answer :
To find the probability that a customer will be seated at a round table or by the window, follow these steps:
1. Identify the Total Number of Tables:
- The restaurant has a total of 60 tables.
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 by the Window:
- There are 6 round tables by the window.
5. Calculate the Number of Tables that are Either Round or by the Window:
- To find this, we need to combine the round tables and the window tables, but be careful to not double-count the tables that are both round and by the window.
- The formula is:
[tex]\[
\text{Tables that are either round or by the window} = (\text{round tables}) + (\text{window tables}) - (\text{round tables by the window})
\][/tex]
- Substitute in the numbers:
[tex]\[
38 + 13 - 6 = 45
\][/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]\[
\text{Probability} = \frac{45}{60}
\][/tex]
7. Simplify the Probability:
- Simplifying [tex]\(\frac{45}{60}\)[/tex] gives [tex]\(\frac{3}{4}\)[/tex], which can be expressed as a decimal: 0.75, or it remains [tex]\(\frac{45}{60}\)[/tex] if simplified form isn't required.
With this detailed explanation, the probability of a customer being seated at a round table or by the window is [tex]\( \frac{45}{60} \)[/tex]. Therefore, the correct answer from the given options is:
C. [tex]\(\frac{45}{60}\)[/tex].
1. Identify the Total Number of Tables:
- The restaurant has a total of 60 tables.
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 by the Window:
- There are 6 round tables by the window.
5. Calculate the Number of Tables that are Either Round or by the Window:
- To find this, we need to combine the round tables and the window tables, but be careful to not double-count the tables that are both round and by the window.
- The formula is:
[tex]\[
\text{Tables that are either round or by the window} = (\text{round tables}) + (\text{window tables}) - (\text{round tables by the window})
\][/tex]
- Substitute in the numbers:
[tex]\[
38 + 13 - 6 = 45
\][/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]\[
\text{Probability} = \frac{45}{60}
\][/tex]
7. Simplify the Probability:
- Simplifying [tex]\(\frac{45}{60}\)[/tex] gives [tex]\(\frac{3}{4}\)[/tex], which can be expressed as a decimal: 0.75, or it remains [tex]\(\frac{45}{60}\)[/tex] if simplified form isn't required.
With this detailed explanation, the probability of a customer being seated at a round table or by the window is [tex]\( \frac{45}{60} \)[/tex]. Therefore, the correct answer from the given options is:
C. [tex]\(\frac{45}{60}\)[/tex].
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