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For the month of JanuaryJanuary in a certain​ city, 51​% of the days are cloudycloudy. Also in the month of JanuaryJanuary in the same​ city, 252% of the days are cloudycloudy and foggyfoggy. What is the probability that a randomly selected day in JanuaryJanuary will be foggyfoggy if it is cloudycloudy​?

Respuesta :

Answer: Our required probability is 0.48.

Step-by-step explanation:

Since we have given that

Probability that days are cloudy in January = 51%

Probability that days are cloudy and foggy = 25%

So, we need to find the probability that a randomly selected day in January will be foggy if it is cloudy.

So,P( Foggy|cloudy) is given by

[tex]\dfrac{P(Foggy\cap cloudy)}{P(cloudy)}\\\\=\dfrac{25}{51}\\\\=0.48[/tex]

Hence, our required probability is 0.48.

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