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)

Answer 1

To calculate the probability of going on a run given that it is a windy day, we use the formula for conditional probability:

P(Run | Windy) = P(Run and Windy) / P(Windy)

P(Run and Windy) = P(Run) * P(Windy) = 0.23 * 0.52 = 0.1196

So, P(Run | Windy) = 0.1196 / 0.52 = 0.23

Therefore, the probability of going on a run, given that it is a windy day, is 23%.