For the month of January in a certain city 52 of the days ar

For the month of January in a certain city, 52% of the days are cloudy. Also in the month of January in the same city 39%of the days are cloudy and raining. What is the probability that a randomly selected day in January will be rainy if it is cloudy?

Solution

P(cloudy) = 52%

P(cloudy and raining) = 39%

P(rainy | cloudy) = P(rainy and cloudy) / P(cloudy)

= 39% / 52%

= 0.75

75% ---> ANSWER