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Need help with probability

 

My sock drawer contains two red socks, two white socks, and two blue socks.  For three days in a row, I pull out two socks out of my sock drawer at random.  What is the probability that I get matching socks on all three days?

 Apr 14, 2023
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Matching on the first day: 3/20

Matching on the other two days: 1/3

Total probability: 1/20

 May 4, 2023

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