what is the probability that it will actually rain tomorrow?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.8: Lagrange Multipliers
Problem 8P
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In a place called BW is well known for its weather. The weather condition is not extreme at all and many people want to migrate there only for the characteristic of the place. it rains on one fourth of the days. The local evening newspaper attempts to predict whether or not it will rain the following day. Three quarters of rainy days and four fifths of dry days are correctly predicted by the previous evenings paper. Given that this evenings paper predicts rain, what is the probability that it will actually rain tomorrow?

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