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If there is a 70% chance of rain tomorrow and a 50% 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. 67% B. 71% C. 78% D. 33%

Verified Answer :

toporc

P(R) = 0.7
\(P(R\cap W)=0.5\)
\(P(W)=\frac{P(R\cap W)}{P(R)}=\frac{0.5}{0.7}=0.71\)
The correct choice of answer is B. 71%.

meerkat18

The chance of raining tomorrow  (B) is 70% while the chance of having a windy (A) and rainy weather is 50%. The chance hat it is windy, given that it is rainy is obtained from the rule of probability: p(A/B) = p (A and B) / p (B)
substituting, 
p(A/B) = 0.50/0.70 equal to 0.7143

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