Answer:
The conditional probability that it is windy, given that it is rainy is is 63%.
Step-by-step explanation:
It is given that there is 80% chance of rain, that is P(A)=0.80
50%chance of wind and rain, that is P(A∩B)=0.50
Now, the conditional probability that it is windy, given that it is rainy is:
[tex]P(B|A)=\frac{P(A{\cap}B)}{P(A)}[/tex]
[tex]P(B|A)=\frac{0.50}{0.80}[/tex]
[tex]P(B|A)=0.625[/tex]
Thus, the conditional probability that it is windy, given that it is rainy is is 63%.
