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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%

Respuesta :

The answer is B.38% (:

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

[tex]P(A)=65\%=0.65,\\\\P(A\cap B)=25\%=0.25.[/tex]

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

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

Thus, the required probability is 38%.

Option (B) is CORRECT.

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