For the month of january in a certain city, 42% of the days are cloudy. also in the month of january in the same city, 41% of the days are cloudy and rainy. what is the probability that a randomly selected day in january will be rainy if it is cloudy?

0.9762

Step-by-step explanation:

Let A be the event that days are cloudy and B be the event that days are rainy for January month .

Given : The probability that the days are cloudy =

The probability that the days are cloudy and rainy =

Now, the conditional probability that a randomly selected day in January will be rainy if it is cloudy is given by :-

Hence, the probability that a randomly selected day in January will be rainy if it is cloudy  = 0.9762

the answer is b