Disc Math. (Impossible to answer?)

  • Thread starter Thread starter Miike012
  • Start date Start date
  • Tags Tags
    Disc
Click For Summary
SUMMARY

The discussion centers on a logical problem regarding sock selection, specifically how many socks must be drawn to ensure at least two black socks are obtained. Participants debate the interpretation of the question, with one asserting that drawing 14 socks guarantees two black socks, while another questions the assumptions made about the colors of the socks drawn. The consensus is that the question is straightforward, and drawing 14 socks is sufficient to ensure at least two black socks, regardless of the initial draws.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with logical reasoning and problem-solving techniques
  • Knowledge of combinatorial principles
  • Ability to analyze and interpret mathematical problems
NEXT STEPS
  • Study combinatorial mathematics to enhance problem-solving skills
  • Explore probability theory, focusing on drawing without replacement
  • Practice logical reasoning puzzles to improve analytical thinking
  • Review examples of similar sock selection problems for deeper understanding
USEFUL FOR

This discussion is beneficial for students of mathematics, educators teaching probability and logic, and anyone interested in enhancing their problem-solving abilities in combinatorial contexts.

Miike012
Messages
1,009
Reaction score
0
Is the question in the paint document flawed?

The question says.
How many socks must he take out to be sure that he has at least two black socks?

The solution to this problem is..

in case if all twelve pickings are brown...

Well how can he be sure that all twelve pickings are brown? He cannot. All twelve of his first pickings may be brown but they may also be black. Therefore he cannot be sure that the 13th and 14th pickings are black or brown because it is impossible for the person to know if his first twelve pickings are black or brown.
 

Attachments

  • FQ.jpg
    FQ.jpg
    8.6 KB · Views: 436
Physics news on Phys.org
Miike012 said:
Is the question in the paint document flawed?

The question says.
How many socks must he take out to be sure that he has at least two black socks?

The solution to this problem is..

in case if all twelve pickings are brown...

Well how can he be sure that all twelve pickings are brown? He cannot. All twelve of his first pickings may be brown but they may also be black. Therefore he cannot be sure that the 13th and 14th pickings are black or brown because it is impossible for the person to know if his first twelve pickings are black or brown.

You are really overthinking a simple question. He turns the lights on after he's picked a certain number of socks. If he only picks 2 socks, he might or might not have 2 black ones. If he picks 13 socks he might or might not have 2 black ones. If he picks 14 he definitely will have 2 black socks. That's all.
 
Dick said:
You are really overthinking a simple question. He turns the lights on after he's picked a certain number of socks. If he only picks 2 socks, he might or might not have 2 black ones. If he picks 13 socks he might or might not have 2 black ones. If he picks 14 he definitely will have 2 black socks. That's all.

I'm not overthinking the problem, that is how I interpreted the problem.

Re-edit. Nevermind I was reading it wrong.
 
Last edited:

Similar threads

Replies
2
Views
3K
  • · Replies 14 ·
Replies
14
Views
1K
  • · Replies 21 ·
Replies
21
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 14 ·
Replies
14
Views
5K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 40 ·
2
Replies
40
Views
7K