SOLUTION: A meteorologist reported an 82% chance the weather would be sunny and a 74% chance it would be sunny and that the temperature would get over 85 °F. If it is a sunny day, what is th

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Question 575024: A meteorologist reported an 82% chance the weather would be sunny and a 74% chance it would be sunny and that the temperature would get over 85 °F. If it is a sunny day, what is the probability the temperature will also be more than 85 °F?
a. 31.7%
b. 18.0%
c. 90.2%
d. 74.0%

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = event that the weather is sunny
B = event that the temperature is more than 85 °F
Given: P(A) = 0.82
P(AB) = 0.74
Solution: P(B|A) = P%28AB%29%2FP%28A%29
= 0.74%2F0.82
= 90.2%
Answer: c. 90.2%