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, you can use the formula:

\[
P(\text{win}) = \frac{\text{Number of winners}}{\text{Total number of participants}}
\]

In this case, the number of winners is 14, and the total number of participants is the sum of winners and non-winners:

\[
\text{Total number of participants} = 14 + 21 = 35
\]

Now, plug the values into the formula:

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

To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 7:

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

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

\[
P(\text{win}) = \frac{2}{5}
\]