Security researchers frequently would like to know the probability people pick things for their 4-digit PINs (how often do people lock their phones with just 1234?). If you just ask people what PIN they use, they either will not tell you or will lie. People may not even want to use something like the strategy in this problem, because there’s some probability that they may be asked to just give their PIN honestly. How could you build a polling strategy that could successfully estimate the probabilities people use various PINs with, but wouldn’t require the person to ever give up their PIN entirely and clearly?

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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Security researchers frequently would like to know the probability people pick things for their 4-digit PINs (how often do people lock their phones with just 1234?). If you just ask people what PIN they use, they either will not tell you or will lie. People may not even want to use something like the strategy in this problem, because there’s some probability that they may be asked to just give their PIN honestly. How could you build a polling strategy that could successfully estimate the probabilities people use various PINs with, but wouldn’t require the person to ever give up their PIN entirely and clearly?

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