PigeonHole principle A drawer holds a dozen brown socks and a dozen black socks, both of which are unmatched. In the dark, a man pulls socks at random. a) How many socks does he need to remove to ensure that he has at least two socks of the same color? b) How many socks does he need to pull out to ensure he has at least two black socks?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 65RE
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PigeonHole principle

A drawer holds a dozen brown socks and a dozen black socks, both of which are unmatched. In the dark, a man pulls socks at random.


a) How many socks does he need to remove to ensure that he has at least two socks of the same color?

b) How many socks does he need to pull out to ensure he has at least two black socks?

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