Question
Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked by had a beard. What is the experimental probability that the next man to walk by will have a beard?
Write your answer as a fraction or whole number.
P(beard)=
Write your answer as a fraction or whole number.
P(beard)=
Answers
GPT-4o mini
To find the experimental probability that the next man to walk by will have a beard, we use the formula for experimental probability, which is:
\[ P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of trials}} \]
In this case, the favorable outcomes are the men who have beards, and the total number of trials is the total number of men observed.
From the information provided:
- Number of men with beards = 3
- Total number of men observed = 15
So, the experimental probability that the next man to walk by will have a beard is:
\[
P(\text{beard}) = \frac{3}{15}
\]
To simplify this fraction:
\[
P(\text{beard}) = \frac{3 \div 3}{15 \div 3} = \frac{1}{5}
\]
Thus, the experimental probability that the next man to walk by will have a beard is:
\[
P(\text{beard}) = \frac{1}{5}
\]
\[ P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of trials}} \]
In this case, the favorable outcomes are the men who have beards, and the total number of trials is the total number of men observed.
From the information provided:
- Number of men with beards = 3
- Total number of men observed = 15
So, the experimental probability that the next man to walk by will have a beard is:
\[
P(\text{beard}) = \frac{3}{15}
\]
To simplify this fraction:
\[
P(\text{beard}) = \frac{3 \div 3}{15 \div 3} = \frac{1}{5}
\]
Thus, the experimental probability that the next man to walk by will have a beard is:
\[
P(\text{beard}) = \frac{1}{5}
\]