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?

What does this mean?

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Why do we preferably have round manhole covers and not square ones?

What am I?

Fate has decided that you will only be pleased to meet me when you need me

Maybe that is why, when I am working, I start working

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I will always be waiting if you try to reach me

How many of you can guess my name, let me see

Luis Garavito killed Density x Volume.

Who is Luis Garavito ?

You need to remove two matchsticks to make the below equation true. Can you do it ?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?

What is Luis Suarez's (Soccer Player) favorite tea?

Christina, Allison and Lena are 3 daughters of John a well-known Mathematician, When I asked John the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters?