perplexus.info :: Probability : Pairs of Socks

Pairs of Socks (Posted on 2004-09-01)

You are in a pitch black room and need to get a pair of socks out of your drawer which can contain up to 100 socks. In the drawer is a mixture of black and white socks, and there's at least one pair of either color. If you choose two socks, the chance that you draw out a black pair is 2/3.

What is the chance that you draw out a white pair?
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Bonus: what would the answer be if the drawer contained between 100 and 1000 socks?

See The Solution Submitted by SilverKnight

Rating: 3.0000 (1 votes)

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Subject	Author	Date
An approximation	Steve Herman	2015-02-22 16:54:07
answer	K Sengupta	2008-01-25 05:51:25
re: nate	Nate	2004-09-09 13:12:05
re(2): Solution (maybe) - Thanks	Nate	2004-09-09 13:10:33
nate	Bon	2004-09-09 09:13:38
re: Solution (maybe)	nikki	2004-09-03 15:54:59
Solution (maybe)	Nate	2004-09-03 15:30:56
Solution (maybe)	Nate	2004-09-03 15:30:09
Solution (maybe)	Nate	2004-09-03 15:29:27
reply to replies	Tristan	2004-09-02 18:42:30
re: Solution to part 1	Federico Kereki	2004-09-01 20:57:30
solution	Charlie	2004-09-01 20:03:59
re(4): Solution to part 1 - almost, + Part 2	Juggler	2004-09-01 18:54:09
re(3): Solution to part 1 - almost, + Part 2	Nosher	2004-09-01 18:52:36
Solution to 1st part	Juggler	2004-09-01 18:28:13
re(3): Solution to part 1 - almost, + Part 2	Thalamus	2004-09-01 18:20:03
re(2): Solution to part 1 - almost, + Part 2	Nosher	2004-09-01 18:08:00
re: Solution to part 1	Nosher	2004-09-01 18:01:52
re: Solution to part 1 - almost, but not quite	Thalamus	2004-09-01 18:01:19
Solution to part 1	Tristan	2004-09-01 17:45:48

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