If there is an 80% chance of rain and a 10% chance of wind and rain, what is the probability that it is windy, given that it is rainy? round your answer to the nearest percent.

The probability that it is windy, given that it is rainy is 0.13.

Step-by-step explanation:

The conditional probability of an event B given that another event A has already occurred is,

Denote the events as follows:

R = rainy weather

W = windy weather

Given:

P (R) = 0.80

P (W ∩ R) = 0.10

Compute the probability that it is windy, given that it is rainy as follows:

Thus, the probability that it is windy, given that it is rainy is 0.13.