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

I look at you, you look at me I raise my right, you raise your left. What am I?

Asked by Neha on 24 Apr 2023


How many times do a clock's hands overlap in a day ?

Clock Hand Overlapping

Asked by Neha on 31 Mar 2021

I have branches, but no fruit, trunk or leaves. What am I?

Asked by Neha on 18 May 2022


What goes through cities and fields, but never moves?

Asked by Neha on 10 Mar 2025

Jenifer and Jesica are having a conversation.

Jenifer: I am definitely not over 30.
Jesica: I am 28 and you are surely 5 years older to me at least.
Jenifer: No, you are at least 29.

You are told that both of them are lying throughout in the conversation. Can you find their respective ages?

Asked by Neha on 18 Jul 2021

Something Extraordinary happened on May 6th 19778 at 12:34am what was that?

Asked by Neha on 04 Feb 2026


Its something that each of us devours,
Not just us but birds, beats, trees, and flowers,
Frets iron and nibbles steel,
Toil hard stones to meal,
Exterminates king, collapse town,
And blows the mountains down.

Asked by Neha on 20 Mar 2023

The host of a game show, offers the guest a choice of three doors. Behind one is a expensive car, but behind the other two are goats.
After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car).

Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.

You cannot hear the goats from behind the doors, or in any way know which door has the prize.

Should you stay, or switch, or doesn't it matter?

Asked by Neha on 06 Aug 2021

We are a group of eight brothers. We consider the weak, yet we protect the king in every battle. If we move ahead, we never turn back. Who are we?

Asked by Neha on 15 Feb 2026


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

Asked by Neha on 31 Dec 2024

Hot Articles

Amazing Facts

Crossword

The day before the 1996 U.S. presidential election, the NYT Crossword contained the clue “Lead story in tomorrow’s newspaper,” the puzzle was built so that both electoral outcomes were correct answers, requiring 7 other clues to have dual responses.