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Answer :
To solve the problem, we want to find the probability that a randomly assigned table to a customer is a round table. Here’s how we can approach this:
1. Identify the Total Number of Tables:
The restaurant has a total of 60 tables.
2. Identify the Number of Round Tables:
Out of these, 38 tables are round.
3. Calculate the Probability:
The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome is choosing a round table.
[tex]\[
\text{Probability of getting a round table} = \frac{\text{Number of round tables}}{\text{Total number of tables}}
\][/tex]
That means the probability is:
[tex]\[
\frac{38}{60} = 0.6333\ldots
\][/tex]
This fraction equals approximately 0.6333, which is the probability that a customer will be assigned a round table.
4. Convert the Probability to the Given Choices:
We need to match this probability with one of the given answer choices. In fractions:
- A. [tex]\(\frac{41}{60}\)[/tex]
- B. [tex]\(\frac{29}{60}\)[/tex]
- C. [tex]\(\frac{47}{60}\)[/tex]
- D. [tex]\(\frac{45}{60}\)[/tex]
Simplifying [tex]\(\frac{38}{60}\)[/tex], we find it simplifies to [tex]\(\frac{19}{30}\)[/tex]. Since this simplification doesn't directly match any of the options, if only fractional options were available as possible answers, careful re-evaluation of potential mistakes in given answers might be required. However, given our numeric result, none of the listed choices directly matches the exact simplified fraction. Therefore, relying on the actual decimal value might be best if asked to choose.
The closest estimation considering the choices pattern (although not directly matching the calculation) would fit into a similar kind setup answer mode, reinforcing result checks beyond basic fraction steps. In context, ensure recheck processes for any mis-statement.
1. Identify the Total Number of Tables:
The restaurant has a total of 60 tables.
2. Identify the Number of Round Tables:
Out of these, 38 tables are round.
3. Calculate the Probability:
The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome is choosing a round table.
[tex]\[
\text{Probability of getting a round table} = \frac{\text{Number of round tables}}{\text{Total number of tables}}
\][/tex]
That means the probability is:
[tex]\[
\frac{38}{60} = 0.6333\ldots
\][/tex]
This fraction equals approximately 0.6333, which is the probability that a customer will be assigned a round table.
4. Convert the Probability to the Given Choices:
We need to match this probability with one of the given answer choices. In fractions:
- A. [tex]\(\frac{41}{60}\)[/tex]
- B. [tex]\(\frac{29}{60}\)[/tex]
- C. [tex]\(\frac{47}{60}\)[/tex]
- D. [tex]\(\frac{45}{60}\)[/tex]
Simplifying [tex]\(\frac{38}{60}\)[/tex], we find it simplifies to [tex]\(\frac{19}{30}\)[/tex]. Since this simplification doesn't directly match any of the options, if only fractional options were available as possible answers, careful re-evaluation of potential mistakes in given answers might be required. However, given our numeric result, none of the listed choices directly matches the exact simplified fraction. Therefore, relying on the actual decimal value might be best if asked to choose.
The closest estimation considering the choices pattern (although not directly matching the calculation) would fit into a similar kind setup answer mode, reinforcing result checks beyond basic fraction steps. In context, ensure recheck processes for any mis-statement.
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