In winter of a country, it rains 45% of the days and shine 55% of the days. Mr. X has a barometer which wrongly predicts 5% of the time in rainy days and 10% on shiny days. Mr. X does not carry umbrella if barometer predicts shine. On good shiny morning in winter, his barometer predicts “shine” and he does not carry umbrella. What is the probability that Mr. X will suffer from rain on that day.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In winter of a country, it rains 45% of the days and shine 55% of the days. Mr. X has a
barometer which wrongly predicts 5% of the time in rainy days and 10% on shiny days.
Mr. X does not carry umbrella if barometer predicts shine. On good shiny morning in
winter, his barometer predicts “shine” and he does not carry umbrella. What is the
probability that Mr. X will suffer from rain on that day.

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