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

Answer 1

To find the probability of going on a run given that it is a windy day, we actually need to clarify the information provided.

You've provided:

1. The probability of the day being windy: \( P(W) = 0.52 \) (52%).
2. The probability of going for a run when it is windy: \( P(R|W) = 0.23 \) (23%).

You are asking for the probability of going on a run given that it is a windy day, which is already stated as \( P(R|W) = 0.23 \).

Thus, the probability of going on a run given that it is a windy day is:

\[ P(R|W) = 0.23 \text{ or } 23%. \]