Question
At the Butler County Fair, 22 of the last 64 people to spin the prize wheel won a prize. What is the experimental probability that the next person to spin the wheel will win a prize?
Write your answer as a fraction or whole number.
P(win)=
Write your answer as a fraction or whole number.
P(win)=
Answers
GPT-4o mini
To find the experimental probability of winning a prize, you can use the formula:
\[
P(\text{win}) = \frac{\text{number of wins}}{\text{total spins}}
\]
In this case, 22 out of 64 people won a prize. Thus, you would calculate:
\[
P(\text{win}) = \frac{22}{64}
\]
To simplify this fraction, both the numerator and the denominator can be divided by their greatest common divisor, which is 22:
\[
P(\text{win}) = \frac{22 \div 22}{64 \div 22} = \frac{1}{2.9091} \approx \frac{11}{32}
\]
Thus, the experimental probability that the next person to spin the wheel will win a prize is:
\[
P(\text{win}) = \frac{11}{32}
\]
\[
P(\text{win}) = \frac{\text{number of wins}}{\text{total spins}}
\]
In this case, 22 out of 64 people won a prize. Thus, you would calculate:
\[
P(\text{win}) = \frac{22}{64}
\]
To simplify this fraction, both the numerator and the denominator can be divided by their greatest common divisor, which is 22:
\[
P(\text{win}) = \frac{22 \div 22}{64 \div 22} = \frac{1}{2.9091} \approx \frac{11}{32}
\]
Thus, the experimental probability that the next person to spin the wheel will win a prize is:
\[
P(\text{win}) = \frac{11}{32}
\]