perplexus.info :: Probability : Supreme Red Sox Surmise

Supreme Red Sox Surmise (Posted on 2014-11-06)

A drawer contains a mixture of red socks and blue socks, at most 2014 in total. It so happens that, when two socks are selected randomly without replacement, there is a probability of precisely 2/3 that both are red or both are blue.

What is the maximum possible number of red socks in the drawer that is consistent with this data?

Submitted by K Sengupta

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Solution: (Hide)

The maximum possible number of red socks in the drawer is 1065.
For an explanation, refer to the solution submitted by Brian Smith in this location

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Brian Smith	2023-04-01 15:21:37
computer solution	Charlie	2014-11-06 11:05:58
solution	Ady TZIDON	2014-11-06 09:50:07

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