A survey was conducted with 150 respondents that asked about their favorite activities

Question

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.

Answer 1

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

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

From the information given:

• Number of people who prefer sledding = 40
• Total number of respondents = 150

Now, plug in the values:

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

Next, we can simplify this fraction. Both the numerator and the denominator can be divided by 10:

\[ \frac{40 \div 10}{150 \div 10} = \frac{4}{15} \]

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

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