Question
What value must be in the denominator for the probability that someone is 6–15 years old and prefers basketball, 4? the total is 50
Answers
GPT-4o mini
To determine the value that must be in the denominator for the probability that someone is 6–15 years old and prefers basketball, we need to set up the probability formula:
\[
P(A) = \frac{\text{Number of favorable outcomes for event } A}{\text{Total number of outcomes}}
\]
In this case:
- The number of favorable outcomes for someone being 6–15 years old and preferring basketball is given as 4.
- The total number of individuals (total outcomes) is 50.
The probability \( P \) that someone is 6–15 years old and prefers basketball is:
\[
P(\text{6–15 years old and prefers basketball}) = \frac{4}{50}
\]
Thus, the value in the denominator is simply the total number of individuals surveyed, which is **50.**
\[
P(A) = \frac{\text{Number of favorable outcomes for event } A}{\text{Total number of outcomes}}
\]
In this case:
- The number of favorable outcomes for someone being 6–15 years old and preferring basketball is given as 4.
- The total number of individuals (total outcomes) is 50.
The probability \( P \) that someone is 6–15 years old and prefers basketball is:
\[
P(\text{6–15 years old and prefers basketball}) = \frac{4}{50}
\]
Thus, the value in the denominator is simply the total number of individuals surveyed, which is **50.**