top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
Site Registration

What strategy would give the best chance of success?

+4 votes
163 views

Three people enter a room and have a green or blue hat placed on their head. They cannot see their own hat, but can see the other hats.

The color of each hat is purely random. All hats could be green, or blue, or 1 blue and 2 green, or 2 blue and 1 green.

They need to guess their own hat color by writing it on a piece of paper, or they can write "pass".

They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.

If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.

What strategy would give the best chance of success?

(Hint: 100% chance of success is not possible.)

posted Apr 8, 2014 by Ankur Athari

Share this puzzle
Facebook Share Button Twitter Share Button Google+ Share Button LinkedIn Share Button Multiple Social Share Button

1 Solution

0 votes

In this game at least two person will have the same color cap.
Before starting the game they will decide: the person who gets the other two, having the same color cap, will start first. and write on paper as "pass".
Second person will see the cap color of third person and write it on paper(either blue or green). Third person will do the same.
Now since both(second & third) have same color cap they both are winner.

solution Apr 11, 2014 by Nikhil Omar



Similar Puzzles
+1 vote

Distance between the towns A and B is 1000 miles. There is 3000 mango's in A, and the mango's have to be delivered to B. The available car can take 1000 apples at most. The car driver has developed an addiction to mango: when he has mango aboard he eats 1 mango with each mile made. Figure out the strategy that yields the largest amount of mango's to be delivered to B.

0 votes

You are stuck on an island where you have nothing. You find four pieces of paper somewhere on the island.

What will be your strategy to escape from the island safely?

PS: No other resource is available to you on the island, neither can you build anything.

0 votes

There is a prison with 100 prisoners, each in separate cells with no form of contact. There is an area in the prison with a single light bulb in it. Each day, the warden picks one of the prisoners at random, even if they have been picked before, and takes them out to the lobby. The prisoner will have the choice to flip the switch if they want. The light bulb starts in the Switched off position.

When a prisoner is taken into the area with the light bulb, he can say "Every prisoner has been brought to the light bulb." If this is true all prisoners will go free. However, if a prisoner chooses to say this and it's wrong, all the prisoners will be executed. So a prisoner should only say this if he knows it is true for sure.

Before the first day of this process begins, all the prisoners are allowed to get together to discuss a strategy to eventually save themselves.

What strategy could they use to ensure they will go free?

+1 vote

Long ago, a young Chinese prince wanted to marry a Mandarin's daughter. The Mandarin decided to test the prince. He gave the prince two empty, porcelain vases, 100 white pearls, and 100 black pearls. "You must put all the pearls in the vases", he told the prince. "After this, I will call my daughter from the room next door. She will take a random pearl from one of the two vases. If this pearl is a black one, you are allowed to marry my daughter."What was the best way in which the prince could divide the pearls over the vases?

0 votes

Atul and Bhola are prisoners. The jailer have them play a game. He places one coin on each cell of an 8x8 chessboard. Some are tails up and others are heads up. Bhola cannot yet see the board. The jailer shows the board to Atul and selects a cell. He will allow Atul to flip exactly one coin on the board. Then Bhola arrives. He is asked to inspect the board and then guess the cell selected by the jailer. If Bhola guesses the correct cell among 64 options, Atul and Bhola are set free. Otherwise, they are both executed. Is there a winning strategy for Atul and Bhola? (They can co-operate and discuss a strategy before the game starts).

Contact Us
+91 9880187415
sales@queryhome.net
support@queryhome.net
#470/147, 3rd Floor, 5th Main,
HSR Layout Sector 7,
Bangalore - 560102,
Karnataka INDIA.
QUERY HOME
...