Question

For the month of June in a certain​ city, 41​% of the days are cloudy. Also in the month of June in the same​ city, 21​% of the days are cloudy and rainy. What is the probability that a randomly selected day in June will be rainy if it is cloudy​?

Answer 1

Answer:

0.5122 or 51.22%

Step-by-step explanation:

In a certain city, in June Probability of cloudy days = P(cloudy) = 0.41

Probability of cloudy and rainy = P(cloudy and rainy) = 0.21

Probability of rainy if we already know it is cloudy = $\frac{\text{[P(cloud and rainy)]}}{[P(cloud)]}$

= $\frac{0.21}{0.41}$ = 0.512195122 ≈ 0.5122

Therefore, the probability that a randomly selected day in June will be rainy if it is cloudy is 0.5122 or 51.22%