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 C.
Airport Destinations
Destination
Number of Responses
   City A
28
   City B
28
   City C
16
   City D
22
   City E
6
Question content area bottom
Part 1
The experimental probability that a person selected at random is going to City Upper C 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 C, you can use the formula for probability:

\[
P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

In this case:
- The number of responses for City C is 16.
- The total number of responses is 100.

So the experimental probability \(P(\text{City C})\) is:

\[
P(\text{City C}) = \frac{16}{100}
\]

Now, you can simplify this fraction. Both the numerator and the denominator can be divided by 4:

\[
\frac{16 \div 4}{100 \div 4} = \frac{4}{25}
\]

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

\[
\frac{4}{25}
\]