Alpha PLT
  • About/ Why PLT?
    • Virtual Tours
    • Contact
  • SEL Curriculum
    • PLT Lab Scope and Sequence
    • Differentiated for Teachers
    • Lessons by Habit >
      • Self-Reflection
      • Learning from Failure
      • Deliberate Practice for Growth
      • Being a Pro-Active Problem Solver
      • Developing and Practicing Coping Skills
      • Speaking to be Heard
      • Listening to Understand
      • Giving Appropriate and Effective Feedback
      • Seeking New Perspectives
      • Finding Middle Ground
      • Developing a Critical Consciousness
      • Creative Thinking
    • Middle School Sequenced Curriculum
    • High School: Proficiency-Based Modules >
      • Materials Management Proficiency Flowchart
      • Time Management Proficiency Flowchart
      • Speaking to be Heard Proficiency Flowchart
      • Listening to Understand Proficiency Flowchart
  • PLT "Field"
    • For Students >
      • MMA & Physical Aggressions
      • Physical Assessments
      • Health & Recovery
      • Team Builders
    • Field "Starter Kit" 2017
    • PLT Trainer Videos
  • Home
  • Middle School Resources
  • Unit Two
  • Puzzle #1 Solution/a>

Puzzle #1 Solution:

Person "C" is the one who called out.  

Since D has not called out, that means the two colours in front of D must be different. As a result, C's hat must be different to B's, so he knows it's black.

Picture
Four men are sentenced to be punished.  However, their kind leader offers them a way out - if they are clever enough:

  • He arranges for them to be buried up to their necks in the sand in the desert (as shown in the diagram) in a straight line, with three on one side of a  brick wall, and one on the other, each wearing either a black or white hat.
  • The wall cannot be seen through (i.e. A and B can only see their own sides of the wall). 
  • They cannot turn their heads to see the people behind them. 
  • The men are blindfolded when they are buried, and know that there are two white hats and two black hats, but they do not know who is wearing which colour. 
  • C can see B, and D can see C and D. 
  • No communication is permitted between them.

In order to escape punishment, one of them must call out and correctly identify the colour of their hat within ten minutes.

After 1 minute, one of them calls out. Which one, and why is he so confident about the colour of his hat?

Copyright © 2015 Greg Callaham