uppose a drawer contains 5 green socks 4 Red Socks and 3 blue socks we draw one sock from the drawer in it's equally likely that any 1 of the sox's drawn. We  Reach into the drawer without looking to pull out for socks what is the probability that we get at least 2 socks of the same color  With the answer being a fraction in simplest form

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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Suppose a drawer contains 5 green socks 4 Red Socks and 3 blue socks we draw one sock from the drawer in it's equally likely that any 1 of the sox's drawn. We  Reach into the drawer without looking to pull out for socks what is the probability that we get at least 2 socks of the same color  With the answer being a fraction in simplest form

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Step 1

Given that there are 5 green socks 4 Red Socks and 3 blue socks.

So there are total (5+4+3)=12 socks.

Note that there are 3 colors. 

 

Given that we reach into the drawer without looking to pull out four socks. Since there are only 3 colors available, so we can not draw 4 different colored socks.

So no matter how we select the socks we will always have at least two socks of the same color. 

 

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