Question

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?

Answer 1

67%

Explanation:

Answer 2

0.6667

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