Solve Hard Logic: Who Knows Their Hat Color?

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    Hard Logic
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Discussion Overview

The discussion revolves around a logic puzzle involving four individuals, two wearing red hats and two wearing blue hats, with one person positioned behind a wall. The participants explore who among them can definitively know the color of their own hat based on their visibility of others in a line.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest that the person behind the wall might know their hat color since they may have visibility advantages not specified in the problem.
  • Others argue that if the individuals can see their own hats, then they would inherently know their color, but if not, no one can determine their hat color based on the visibility constraints.
  • A few participants question the clarity of the problem's wording, particularly regarding the visibility of the individuals and the implications of the wall.
  • Some propose that if the third person in line sees two different colored hats, they could deduce their own hat color based on the silence of the others, but this assumes a level of reasoning that may not be applicable given the stated conditions.
  • There is mention of the possibility that the wall could be transparent or reflective, which could influence the knowledge of the person behind it.
  • One participant expresses confusion about the arrangement of the individuals and how that affects visibility, indicating that the problem lacks sufficient detail for a definitive answer.

Areas of Agreement / Disagreement

Participants do not reach a consensus on who knows their hat color, as multiple competing views and interpretations of the problem's conditions remain. The discussion is characterized by uncertainty and differing interpretations of the visibility and reasoning involved.

Contextual Notes

The discussion highlights limitations in the problem's description, particularly regarding the visibility of the individuals and the implications of the wall. There is ambiguity about whether the wall obstructs vision or if it allows for any form of visibility that could aid in determining hat colors.

  • #31
Delete this thread... the riddle itself is flawed, since it says the people in line can only see the person in front of them. IF it said "persons" then there'd be more info, but still not enough. It is also titled as a logic problem, not a "the wall was transparent!" riddle.
I don't think there's an answer.
 
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  • #32
Redbelly98 said:
Edit added:
Just realized this is an old revived thread from the distant past. Is it just me, or has that been happening a lot this weekend?
There was a firestorm of necromancy this past weekend.
 
  • #33
I'm wondering how and why people dig up these old threads. You have to go the 10th page of thread topics in "Brain Teasers" to get to when this thread was started. Do people searching back that far just not realize how old the thread is, or do they realize it but find it so interesting that it still merits a response?

I'm seeing that the thread was revived in April this year by a one-time poster, so in this more recent revival it was only 2 months old.
 

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