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 tha

Question

3 years ago

10

t it is rainy? Round your answer to the nearest percent. A. 23% B. 38% C. 8% D. 54%

2 answers:

aleksley [76] · Answer 1 · 2022-02-08T06:43:46+03:00

5 0

The answer is B.38% (:

Alexeev081 [22] · Answer 2 · 2022-02-08T08:05:59+03:00

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

$P(B/A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{0.25}{0.65}=0.38461=38\%.$

Thus, the required probability is 38%.

Option (B) is CORRECT.