If there is 10% chance of sun tomorrow and a 20% chance of wind and no sun, what is the probability that it is windy, given that it is not sunny?

0.2222

Step-by-step explanation:

Let A be the event that there is sun

Let A' be the event that there is no sun

Let B be the event that there wind

Then we have

P (A) = 0.1

P (A') = 0.9

P (A' and B) = 0.2

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') = 0.2/0.9

P (B|A') = 0.2222