Question

Use the table to answer the question. Sports Preference Age Group Basketball Soccer Football Total 6–15 years old 4 37 9 50 16–25 years old 28 10 12 50 26–35 years old 3 6 41 50 Total 35 53 62 150 What value must be in the denominator for the probability that someone is 6–15 years old and prefers basketball?

Answer 1

To find the probability that someone is 6-15 years old and prefers basketball, we need to use the total number of respondents as the denominator.

From the table, the total number of respondents is 150. Therefore, the denominator for the probability that someone is 6-15 years old and prefers basketball is 150.

To express the probability mathematically:

\[ P(\text{6–15 years old and prefers basketball}) = \frac{\text{Number of 6–15 year olds who prefer basketball}}{\text{Total number of respondents}} = \frac{4}{150} \]

Thus, the value in the denominator is 150.