hunterlillian2000 hunterlillian2000
  • 19-06-2021
  • Mathematics
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What is the probability that a randomly selected day in the summer will be rainy if it’s cloudy?

What is the probability that a randomly selected day in the summer will be rainy if its cloudy class=

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fichoh
fichoh fichoh
  • 24-06-2021

Answer:

0.872

Step-by-step explanation:

Given that :

P(cloudy) = P(C) = 0.94

P(cloudy and rainy) = P(C n R) = 0.82

Probability that a given day will be rainy if it is cloudy ; this is a conditional probability problem:

Recall ; P(A|B) = P(AnB) / P(B)

P(R|C) = P(C n R) / P(C) = 0.82 / 0.94 = 0.872

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