Question

For the month of May in a certain​ city, the probability that the weather on a given day is cloudy is 0.77. Also in the month of May in the same​ city, the probability that the weather on a given day is cloudy and snowy is 0.27. What is the probability that a randomly selected day in May will be snowy if it is cloudy​?The probability is approximately nothing. ​(Round to three decimal places as​ needed.)

Answer 1

Answer:

0.3506 is the required probability.

Step-by-step explanation:

We are given the following in the question:

A: Weather on a given day is cloudy

B: Weather on a given day is snowy

$P(A) = 0.77\\P(A\cap B) = 0.27$

We have to find the probability that the randomly selected day in May will be snowy if it is cloudy.

That is we have to evaluate P(B|A)

$P(B|A) = \dfrac{P(B\cap A)}{P(A)}\\\\P(B|A) = \dfrac{0.27}{0.77}\\\\P(B|A) = 0.3506$

Thus, 0.3506 is the probability hat a randomly selected day in May will be snowy if it is cloudy.