Question

If there is a 65% chance of rain tomorrow and a 25% 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. 23% B. 38% C. 8% D. 54%

Answer 1

The answer is B.38% (:

Answer 2

Answer: The correct option is (B) 38%.

Step-by-step explanation: Give that there is a 65% chance of rain tomorrow and a 25% chance of wind and rain.

We are to find the probability that it is windy, given that it is rainy.

Let A and B be the events that it is raining and it is windy respectively.

Then, according to the given information, we have

`P(A)=65\%=0.65,\\\\P(A\cap B)=25\%=0.25.`

Therefore, the probability that it is windy, given that it is rainy is given by

`P(B/A)=(P(B\cap A))/(P(A))=(0.25)/(0.65)=0.38461=38\%.`

Thus, the required probability is 38%.

Option (B) is CORRECT.