Question

For the month of November in a certain​ city, 88​% of the days are cloudy. Also in the month of November in the same​ city, 54​% of the days are cloudy and foggy. What is the probability that a randomly selected day in November will be foggy if it is cloudy​?

Answer 1

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.

Explanation:

We have these following probabilities:

An 88% probability that the day is cloudy.

An 54% probability that the day is both foggy and cloudy.

What is the probability that a randomly selected day in November will be foggy if it is cloudy​?

This is the percentage of days that are cloudy and foggy divided by those that are cloudy. So:

`P = (0.54)/(0.88) = 0.6136`

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.