A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one by one, and the unsuccessful keys are eliminated. Show that at all times, no matter how many unsuccessful keys he has eliminated, the probability of finally locating the correct key is 1/n

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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A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one by one, and the unsuccessful keys are eliminated. Show that at all times, no matter how many unsuccessful keys he has eliminated, the probability of finally locating the correct key is 1/n
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