The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either early or late. If it leaves early this time then there is only a 15% chance that it would leave early the next time. On the other hand, if it leaves late this time then there is a 70% chance that it would leave early the next time. Given that it leaves early this time, what is the probability that it leaves early exactly once the next two times it leaves the terminal?

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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The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either
early or late. If it leaves early this time then there is only a 15% chance that it would leave early the
next time. On the other hand, if it leaves late this time then there is a 70% chance that it would leave
early the next time. Given that it leaves early this time, what is the probability that it leaves early
exactly once the next two times it leaves the terminal?
Transcribed Image Text:The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either early or late. If it leaves early this time then there is only a 15% chance that it would leave early the next time. On the other hand, if it leaves late this time then there is a 70% chance that it would leave early the next time. Given that it leaves early this time, what is the probability that it leaves early exactly once the next two times it leaves the terminal?
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