We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
First, note that out of 60 tables, there are 38 round tables and 13 tables by the window. However, 6 tables are both round and by the window. To avoid counting these tables twice, we use the inclusion-exclusion principle.
The number of tables that are either round or by the window is given by:
[tex]$$
\text{Union} = (\text{round tables}) + (\text{window tables}) - (\text{round tables by the window})
$$[/tex]
Substitute the given numbers:
[tex]$$
\text{Union} = 38 + 13 - 6 = 45
$$[/tex]
Thus, there are 45 tables that are either round or by the window.
The probability that a customer will be seated at one of these tables is:
[tex]$$
\text{Probability} = \frac{\text{Union}}{\text{Total tables}} = \frac{45}{60} = 0.75
$$[/tex]
Expressed as a fraction, the answer is [tex]$\frac{45}{60}$[/tex], which corresponds to option B.
The number of tables that are either round or by the window is given by:
[tex]$$
\text{Union} = (\text{round tables}) + (\text{window tables}) - (\text{round tables by the window})
$$[/tex]
Substitute the given numbers:
[tex]$$
\text{Union} = 38 + 13 - 6 = 45
$$[/tex]
Thus, there are 45 tables that are either round or by the window.
The probability that a customer will be seated at one of these tables is:
[tex]$$
\text{Probability} = \frac{\text{Union}}{\text{Total tables}} = \frac{45}{60} = 0.75
$$[/tex]
Expressed as a fraction, the answer is [tex]$\frac{45}{60}$[/tex], which corresponds to option B.
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