The probability that Mike has to work overtime and it rains is 0.028.  Mike hears the weather forecast, and there is a 50% chance of rain.  Find the probability that he will have to work overtime, given that it rains.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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The probability that Mike has to work overtime and it rains is 0.028.  Mike hears the weather forecast, and there is a 50% chance of rain.  Find the probability that he will have to work overtime, given that it rains.

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