Question

At a carnival booth, 14 people won a prize and 21 people did not. What is the experimental probability that the next person at the booth will win a prize?
Write your answer as a fraction or whole number.
P(win)=

Answer 1

To find the experimental probability that the next person at the booth will win a prize, we use the formula for probability:

\[
P(\text{win}) = \frac{\text{Number of people who won}}{\text{Total number of people}}
\]

In this scenario:

- The number of people who won a prize is 14.
- The number of people who did not win a prize is 21.

First, we need to calculate the total number of people:

\[
\text{Total number of people} = \text{Number who won} + \text{Number who did not win} = 14 + 21 = 35
\]

Now, we can find the experimental probability:

\[
P(\text{win}) = \frac{14}{35}
\]

Next, we simplify this fraction by finding the greatest common divisor (GCD) of 14 and 35, which is 7:

\[
P(\text{win}) = \frac{14 \div 7}{35 \div 7} = \frac{2}{5}
\]

Thus, the experimental probability that the next person at the booth will win a prize is:

\[
\boxed{\frac{2}{5}}
\]