Question

If there is a 80% chance of rain and a 70% chance of wind and rain, what is the probability that it is windy, given that it is rainy? Round your answer to the nearest percent.
A 63
B 38
C 13
D 88

Answer 1

Since
P(rain)=70%, P(rain & wind)=80%
and given it rains, then by definition of conditional probability
P(wind|rain)=P(wind \(\cap\) rain)/P(rain)
and recall that P(wind \(\cap\) rain) = P(rain \(\cap\) wind)
and that P(wind|rain) reads as "Probability of wind given that it is rainy".

Answer 2

i think you have it backward it 70% rain and wind and 80% rain