Colour of Caps

Three people enter a room and have a green or blue hat placed on their heads. They cannot see their own hat but can see the other hats.
The colour of each hat is purely random. They could all be green, blue, or any combination of green and blue.
They need to guess their own hat colour 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 $10,000 each, but if anyone guesses incorrectly they all get nothing.
What is the best strategy?




Similar Difficult Riddles

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

Asked by Neha on 19 Jul 2021


A clock loses 10 minutes each hour. If the clock is set correctly at noon, what time is it when it reads 3 PM?

Asked by Neha on 26 Apr 2025

I am a three digit number.
My tens digit is five more than my ones digit.
My hundreds digit is eight less than my tens digit.
What number am I?

Asked by Neha on 17 May 2021


A man dies of old age on his 25 birthday. How is this possible?

Asked by Neha on 13 Feb 2022

I never stop running even when I standstill. If I am formed by joining two identical bodies together, can you guess who I am?

Asked by Neha on 28 Mar 2023

I am something people love or hate. I change peoples appearances and thoughts. If a person takes care of them self I will go up even higher. To some people I will fool them. To others I am a mystery. Some people might want to try and hide me but I will show. No matter how hard people try I will Never go down. What am I?

Asked by Neha on 17 May 2021


I am lying and I always lie. Tell me whether I am lying or telling the truth.

Asked by Neha on 31 Dec 2024

I never was there, I am always to be.
You have never ever seen me, not ever you will.
Yet I am the confidence of everyone.

Who Am I?

Asked by Neha on 01 Feb 2024

What goes through cities and fields, but never moves?

Asked by Neha on 10 Mar 2025


The ages of a father and son add up to 66.
The father's age is the son's age reversed.
How old could they be?
(3 possible solutions).

Asked by Neha on 17 May 2021

Hot Articles

Amazing Facts

Gambling

In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.