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Sock Hop

 
 
Reply Tue 2 Feb, 2010 01:42 pm
You have 10 pairs of socks, five black and five blue, but they are not paired up. Instead, they are all mixed up in a drawer. How many socks must you pull out to guarantee that you have a pair of one color? How many must you pull out to have two good pairs? How many must you pull out to be certain you have a pair of black socks?
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Type: Question • Score: 0 • Views: 4,047 • Replies: 7
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George
 
  2  
Reply Tue 2 Feb, 2010 01:46 pm
3
11
12
Merry Andrew
 
  1  
Reply Tue 2 Feb, 2010 03:29 pm
@George,
Yup.

Easy one.
George
 
  1  
Reply Tue 2 Feb, 2010 03:33 pm
@Merry Andrew,
Now I have to roll them all back up and put them away.
0 Replies
 
parados
 
  1  
Reply Tue 2 Feb, 2010 04:07 pm
@George,
Wouldn't 5 guarantee two pairs?

3 socks gives you 2 black and one blue
You will have a second pair with only 2 more socks
George
 
  1  
Reply Wed 3 Feb, 2010 08:09 am
@parados,
parados wrote:

Wouldn't 5 guarantee two pairs?

3 socks gives you 2 black and one blue
You will have a second pair with only 2 more socks

You're right. I was assuming that the two pair had to be one pair of each color.
0 Replies
 
lillyrox
 
  1  
Reply Wed 7 Apr, 2010 08:05 am
your last answer was 12 and there are only 10 socks. here is my answer:
3
5
6
0 Replies
 
CyberCheese
 
  1  
Reply Thu 15 Apr, 2010 01:53 am
@sweetie117,
6, 7 and 7 in that order
three is wrong, you can pull three blues
you could pull 5 blues in a row and then have to get only blacks from there on in
wait its pairs of the same colour :/
3,4,7
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