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 :
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 either-or events:
[tex]\[ \text{P(A or B)} = \text{P(A)} + \text{P(B)} - \text{P(A and B)} \][/tex]
where:
- P(A) is the probability of a table being round.
- P(B) is the probability of a table being by the window.
- P(A and B) is the probability of a table being both round and by the window.
Let's find each probability:
1. Total Number of Tables: 60
2. Number of Round Tables (P(A)): 38 out of 60 tables are round.
3. Number of Tables by the Window (P(B)): 13 out of 60 tables are by the window.
4. Number of Round Tables by the Window (P(A and B)): 6 tables are both round and by the window.
Now, plug these values into the formula:
[tex]\[ \text{P(round or window)} = \frac{38}{60} + \frac{13}{60} - \frac{6}{60} \][/tex]
[tex]\[ = \frac{38 + 13 - 6}{60} \][/tex]
[tex]\[ = \frac{45}{60} \][/tex]
So, the probability that a customer will be seated at a round table or by the window is [tex]\(\frac{45}{60}\)[/tex], which simplifies to 0.75. Therefore, the correct answer is:
D. [tex]\(\frac{45}{60}\)[/tex]
[tex]\[ \text{P(A or B)} = \text{P(A)} + \text{P(B)} - \text{P(A and B)} \][/tex]
where:
- P(A) is the probability of a table being round.
- P(B) is the probability of a table being by the window.
- P(A and B) is the probability of a table being both round and by the window.
Let's find each probability:
1. Total Number of Tables: 60
2. Number of Round Tables (P(A)): 38 out of 60 tables are round.
3. Number of Tables by the Window (P(B)): 13 out of 60 tables are by the window.
4. Number of Round Tables by the Window (P(A and B)): 6 tables are both round and by the window.
Now, plug these values into the formula:
[tex]\[ \text{P(round or window)} = \frac{38}{60} + \frac{13}{60} - \frac{6}{60} \][/tex]
[tex]\[ = \frac{38 + 13 - 6}{60} \][/tex]
[tex]\[ = \frac{45}{60} \][/tex]
So, the probability that a customer will be seated at a round table or by the window is [tex]\(\frac{45}{60}\)[/tex], which simplifies to 0.75. Therefore, the correct answer is:
D. [tex]\(\frac{45}{60}\)[/tex]
Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
