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More ways to get Braingle...

The Messy Girl

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 

Puzzle ID:#748
Fun:*** (2.34)
Difficulty:** (1.29)
Category:Probability
Submitted By:rkb-1961*
Corrected By:lifeisgood812

 

 

 



A messy girl had 24 socks in the drawer at her bedroom. There are 6 pairs of red socks, 5 pairs of green socks, and 1 pair of blue ones, but all the socks are mixed up. One night she wanted to go out and went to her bedroom for a pair of socks. As she turned on the light, the lamp didn't work, so she had to find her socks in complete darkness.

What's the smallest number of socks she had to take downstairs to be sure to have a matching pair?




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Comments

spstinger
Feb 15, 2002

This answer is incorrect, she could have 4 white socks, she needs at least seven
brain_crusher
Feb 15, 2002

It was confusing at first, I got lost in the information...
Captbob61
Mar 20, 2002

sp stinger....
What?
think_about_it13
Apr 02, 2002

if you have four white socks u would have a pair... duh...
chamber44
May 17, 2002

spstinger is wrong. Good puzzle.
im_para_noid**
Jun 08, 2002

I think she could take two. If she grabbed the same pair of socks, she would have a pair
andy1608
Jun 21, 2002

This whole problem is just a reminder to keep your socks bound in pairs, in case of a blackout.
george1978*
Aug 01, 2002

But in the Question there is never any mention of white socks
cheshirecatgirl
Oct 13, 2002

hello! you didnt mention that the socks weren't paired up because, then if like you stated them as a pair. making her to only have to chose 1 pair.
electronjohn*us*
Dec 03, 2002

I_am_para_noid is wrong. If she took only two socks she might have a matching pair but she would not be "sure" of having a matching pair which is what the question states. Great question. I was going to post it if it was not already here.
PhilDunphyAen*
Mar 20, 2003

Good teaser, almost caught me out
bluetwo*
May 07, 2004

eh, forget about colors... i go by thickness...
Anupriya9Aca*
Oct 03, 2004

Great teaser! If they were toe-socks, you would have a different answer though
mr_brainiac*
Jan 29, 2006

If she's messy, she's probably pretty lazy too. She most likey wouldn't want to have to pull out any more socks than she had to (such hard work) or even care if they were mismatched. If she took out only 2 socks, she'd still have better than a 40% chance of having a match, which would probably be acceptable odds for such a slug. If she can fit both feet into one sock and hop around like a pogo stick, she could get by with only 1 sock, which is certainly bound to be a match. (Pardon the wise cracks, I'm just being a doofus.)

Good old standard puzzle though, I enjoyed it.
YVAU
Mar 07, 2006

Nice and easy, the way I like them. I go by smell personally. Or I just wear very long pants hence removing the need for matching socks. Boots work well too.



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