Question

The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City A.
Airport Destinations
Destination
Number of Responses
   City A
28
   City B
34
   City C
18
   City D
14
   City E
6
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Part 1
The experimental probability that a person selected at random is going to City Upper A is
  
enter your response here.
​(Simplify your​ answer.)

Answer 1

To find the experimental probability that a person selected at random is going to City A, you can use the formula for experimental probability:

\[
P(\text{City A}) = \frac{\text{Number of responses for City A}}{\text{Total number of responses}}
\]

From the data provided:

- Number of responses for City A = 28
- Total number of responses = 100

Now, substituting the values into the formula:

\[
P(\text{City A}) = \frac{28}{100}
\]

To simplify \(\frac{28}{100}\), divide both the numerator and the denominator by their greatest common divisor, which is 4:

\[
P(\text{City A}) = \frac{28 \div 4}{100 \div 4} = \frac{7}{25}
\]

Thus, the experimental probability that a person selected at random is going to City A is:

\[
\boxed{\frac{7}{25}}
\]