1)Assume that a bag contains 5 Green, 10 white balls. 2 balls are drawn randomly one after another. What is the probability that the second ball is Green? 2)Two people have tried robbing in a government office in Bangladesh. They were about to be trapped but escaped successfully. To find the real robber, the RAB arranged a lie detector test for 50 people (including real robbers) who were claiming that they are guiltless. Suppose that the probability of detection of not innocent people is 0.90 and the probability of an guiltless person to be detected as guilty is 0.01. What is the probability Mr. X is guilty given that the test says he is?

1)Assume that a bag contains 5 Green, 10 white balls. 2 balls are drawn randomly one after another. What is the probability that the second ball is Green? 2)Two people have tried robbing in a government office in Bangladesh. They were about to be trapped but escaped successfully. To find the real robber, the RAB arranged a lie detector test for 50 people (including real robbers) who were claiming that they are guiltless. Suppose that the probability of detection of not innocent people is 0.90 and the probability of an guiltless person to be detected as guilty is 0.01. What is the probability Mr. X is guilty given that the test says he is?

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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