To find the probability of going on a run given that it is a windy day, we can use the concept of conditional probability. Specifically, we can denote the events as follows:
- Let \( A \) be the event that it is a windy day.
- Let \( B \) be the event that you go for a run.
We are interested in finding \( P(B | A) \), which is the probability of event \( B \) given event \( A \).
According to the problem, we have:
- \( P(A) = 0.52 \) (the probability of a windy day)
- \( P(B | A) = 0.23 \) (the probability of going for a run when it is windy)
Since \( P(B | A) \) is already provided in the problem's context, it answers your question directly:
The probability of going on a run given that it is a windy day is \( 0.23 \) or 23%.