A planned community has 150 homes, each with an automatic garage door opener. The door opener has seven switches that a homeowner can set to 0 or 1. For example, a door opener code might be 1001100. Assuming all the homes in the community are sold, what is the probability that at least two homeowners will set their switches to the same code, and will therefore be able to open each other's garage doors?

A planned community has 150 homes, each with an automatic garage door opener. The door opener has seven switches that a homeowner can set to 0 or 1. For example, a door opener code might be 1001100. Assuming all the homes in the community are sold, what is the probability that at least two homeowners will set their switches to the same code, and will therefore be able to open each other's garage doors?

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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