Question

If there is a 90% chance of rain tomorrow and a 70% chance of wind and rain, how many percent is the probability that it is windy, given that it is rainy? Round your answer to the nearest percent.

A) 67%
B) 71%
C) 33%
D) 78%

Answer 1

78%

Step-by-step explanation:

Answer 2

You have the chance of rain

P(R) = 0.9

And the chance of wind and rain

P(R∩ W)=0.7

The probabilities of windy weather is

P(W)=
`(P(R∩W))/(P(R))`=
`(0.7)/(0.9)`=0.78

The correct answer then is D) 78%