AllExperts > Puzzle Solving 
Search      
Puzzle Solving
Volunteer
Answers to thousands of questions
 Home · More Puzzle Solving Questions · Answer Library  · Encyclopedia ·
More Puzzle Solving Answers
Question Library

Ask a question about Puzzle Solving
Volunteer
Experts of the Month
Expert Login

Awards

About Us
Tell friends
Link to Us
Disclaimer

 
 
 
 
About Rohit Agarwal
Expertise
I can answer questions related to numbers and logic easily. However I sometimes face problems when solving questions that require a lot of creative thinking. I am not good at puzzles which involve a play with words, so please don't ask me to solve such puzzles for you.

Experience
I have read a couple of good books containing puzzles and can now claim to have an "expert" in this field. I have been invited to become a member of Mensa.

Organizations
INDIAN INSTITUTE OF TECHNOLOGY, DELHI

Education/Credentials
Currently doing Dual Degree (B.Tech M.Tech) in Electrical Engineering Department from INDIAN INSTITUTE OF TECHNOLOGY, DELHI

Awards and Honors
Numerous certificates recognizing my ability in Mathematics and Logical Thinking

 
   

You are here:  Experts > Games > Puzzles > Puzzle Solving > Dots on the foreheads.

Puzzle Solving - Dots on the foreheads.


Expert: Rohit Agarwal - 6/16/2009

Question
A wealthy ginger is searching for a suitor for his daughter, so he collects the three smartest men in town. He sits them in a circle and tells them he is going to put a red mark or a white mark on each of their heads while their eyes are closed. He puts a red mark on all three and tells them to open their eyes. He then asks them if they see a red dot then they should raise their hand. They all raise their respective hands. He then says that if you know the colour dot that is on your forehead, then stand up. After a few minutes one man stands and says the correct colour. How does he know?

Thank you so much whoever answers this.


Answer
There are 4 cases

All White:
Negated as all of them can see atleast one red mark

2 White 1 Red:
Negated as all of them can see two red marks

Now everyone knows that everyone knows that there is atmost 1 white

1 White 2 Red:
If this was true, and assuming that there is atmost 1 white, then the person who can see 1 white will know that the mark on his forehead is red. Since this doesn't happen, this also is negated.

All Red:
The last option  

View Follow-Ups    Add to this Answer   Ask a Question


 
User Agreement | Privacy Policy | Kids' Privacy Policy | Help
Copyright  © 2008 About, Inc. AllExperts, AllExperts.com, and About.com are registered trademarks of About, Inc. All rights reserved.