[Combinatorics] Suppose a door is locked (with a single lock), and next to the door there is a largebox with many keys. Each key in the box is one of k € N types and only a single type can open thedoor. We assume that the keys are visually identical and all key types are presented in the box inequal proportions. What is the minimum number of keys one should randomly pick from the box inorder to have at least a 99% chance to open the door with one of selected keys? Express the resultas a function of k. [Hint: here we can assume that the key box is huge and drawing some finitenumber of keys from the box has a negligible effect on the proportion of remaining keys in there]

The minimum number of keys with at least a 99% chance to open the door. [ In function of k]Given…

Answered: [Combinatorics] Suppose a door is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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