What is the probability that a randomly selected day in the summer will be rainy if it’s cloudy?
![What is the probability that a randomly selected day in the summer will be rainy if its cloudy class=](https://us-static.z-dn.net/files/d94/3e8944bacb4f74ba561f16c48d32fc6c.png)
Answer:
0.872
Step-by-step explanation:
Given that :
P(cloudy) = P(C) = 0.94
P(cloudy and rainy) = P(C n R) = 0.82
Probability that a given day will be rainy if it is cloudy ; this is a conditional probability problem:
Recall ; P(A|B) = P(AnB) / P(B)
P(R|C) = P(C n R) / P(C) = 0.82 / 0.94 = 0.872