Question

Question
A survey was conducted with 150 respondents that asked about their favorite activities during winter. There were 30 people who favored building a snowman, 80 people who liked skiing, and 40 who preferred sledding. What is the experimental probability that someone’s favorite activity is sledding? Write your answer in the simplest form of fraction.(1 point)

Answer 1

To find the experimental probability that someone's favorite activity is sledding, we can use the formula for probability:

\[
P(\text{sledding}) = \frac{\text{Number of people who prefer sledding}}{\text{Total number of respondents}}
\]

From the survey, we have:
- Number of people who prefer sledding = 40
- Total number of respondents = 150

Now we can calculate the probability:

\[
P(\text{sledding}) = \frac{40}{150}
\]

To simplify this fraction, we can find the greatest common divisor (GCD) of 40 and 150, which is 10.

Now, we divide both the numerator and the denominator by their GCD:

\[
P(\text{sledding}) = \frac{40 \div 10}{150 \div 10} = \frac{4}{15}
\]

Thus, the experimental probability that someone's favorite activity is sledding is:

\[
\frac{4}{15}
\]