For the month of October n a certain city, 84% of the days are cloudy. Also in the month of October in the same city, 29% of the days are cloudy and snowy. What is the probability that ta randomly selected day in October will be snowy if it is cloudy? The probability is approximately (Round to three decimal places as needed)

Question

Mathematics

Caitlyn Liu

15 November, 04:36

For the month of October n a certain city, 84% of the days are cloudy. Also in the month of October in the same city, 29% of the days are cloudy and snowy. What is the probability that ta randomly selected day in October will be snowy if it is cloudy? The probability is approximately (Round to three decimal places as needed)

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Answers (1)

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Rowan Barron · Answer 1

0.345

Step-by-step explanation:

There are n days in the month of October.

- 84% of them are cloudy, so the number of cloudy days is 0.84n

- 29% of them are cloudy and snowy, so the number of cloudy and snowy days is 0.29n

So the proportion of snowy days within cloudy days is 0.29n/0.84n = 0.345, which is also the probability of selecting a snowy day if it's already cloudy.