Save Hw Score: 78.7%, 28.33 of 36 pt Question Help * Score: 0 of 1 pt 30of38(29

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Save Hw Score: 78.7%, 28.33 of 36 pt Question Help * Score: 0 of 1 pt 30of38(29 complete) 3.6.87 For the month of October in a certain city, the probability that the weather on a given day is cloudy is 0.33. Also in the month of October in the same city, the probability that the weather on a given day is cloudy and rainy is 0.18. What is the probability that a randomly selected day in October wil be rainy ifitis cloudy? The probability is approximately[ (Round to three decimal places as needed.) Di in t the tober Enter your answer in the answer box and then click Check Answer. 3, Check Answer Clear All All parts showing abil oo.com/question/index?qid-20120723205252AABNROv a certain city had 26% cloudy days, and 23% cloudy and rainy days what is the domly selected day will be rainy If it's cloudy

Explanation / Answer

Let us denote the events 'A' is the cloudy and 'B' is the rainy

Given that P(A) = 0.33; P(A and B) = 0.18

Therefore the probability that randomly selected day in october will be rainy if it is cloudy is given by

P(B/A) = P(A and B) / P(A) = (0.18) / (0.33) = 0.545

The probability is approximately = 0.545

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