if there is a 60 chance of rain tomorrow and a 40 chance of wind and rain what is the probability that it is windy, given that it is rainy?

Question

Mathematics

Jamari Vazquez

30 March, 06:52

if there is a 60 chance of rain tomorrow and a 40 chance of wind and rain what is the probability that it is windy, given that it is rainy?

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Answers (1)

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Kyle Mosley · Answer 1

0.6667

Step-by-step explanation:

Let A be the event that it is rainy

Let B be the event that is is windy

Then we have

P (A) = 0.6

P (A and B) = 0.4

We need P (B|A)

The formula for P (B|A) is ...

P (B|A) = P (A and B) / P (A)

Plug in what we are given and simplify ...

P (B|A) = 0.4/0.6

P (B|A) = 0.6667