Question
Today, you want to go on a run. The probability of the day being windy is 52%. The probability of going for a run when it is windy is 23%. What is the probability of going on a run, given that it is a windy day? (1 point)
%
%
Answers
GPT-4o mini
To find the probability of going on a run given that it is a windy day, we can express the information provided in terms of probabilities:
Let:
- \( P(W) \) = Probability of it being windy = 52% or 0.52
- \( P(R | W) \) = Probability of going for a run given that it is windy = 23% or 0.23
Since we are interested in calculating the probability of going on a run given that it is a windy day, we already have \( P(R | W) \).
Thus, the probability of going on a run given that it is a windy day is:
\[
P(R | W) = 0.23 \text{ or } 23\%
\]
So, the answer is **23%**.
Let:
- \( P(W) \) = Probability of it being windy = 52% or 0.52
- \( P(R | W) \) = Probability of going for a run given that it is windy = 23% or 0.23
Since we are interested in calculating the probability of going on a run given that it is a windy day, we already have \( P(R | W) \).
Thus, the probability of going on a run given that it is a windy day is:
\[
P(R | W) = 0.23 \text{ or } 23\%
\]
So, the answer is **23%**.