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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 :

Answer:

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

Step-by-step 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:

[tex]P = \frac{0.54}{0.88} = 0.6136[/tex]

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

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