You are going to meet a friend at the airport. Your experience tells you that the plane is late 70% of the time when it rains, but is only late 20% of the time when it doesn’t rain. The weather forecast for that morning calls for a 40% chance of rain. What is the probability that it rained, if the plane is late?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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You are going to meet a friend at the airport. Your experience tells you that the plane is late 70% of the time when it rains, but is only late 20% of the time when it doesn’t rain. The weather forecast for that morning calls for a 40% chance of rain. What is the probability that it rained, if the plane is late?
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