Skip to main content
Mathematics collaboration

MathsShare

Go Search
Home
Blog
Student
Photographic Blog
Questions
  
MathsShare > Puzzles > Logic - Hats  

Puzzles

Modify settings and columns
  
View: 
Post
Edited: 02/07/2013 09:31 AM
Picture: John Rowland
John Rowland
Logic - Hats


Two red and two green party hats are placed on four people and these people are arranged as shown - so that A can see B & C, B can see C, but C and D cannot see any of the others. (They all know that there are two red and two green hats.)  The first person to correctly call out the colour of the hat on their head wins a prize.  Who wins, given that nobody simply guesses?

Posted: 02/07/2013 09:32 AM
Picture: John Rowland
John Rowland

Since A is silent, A must see a red and a green hat.  B can see C, so whatever colour hat C has on, B knows to say the other colour.