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?

A certain street contains 100 buildings. They are numbered from 1 to 100. How many 9's are used in these numbers?

What is harder to catch the faster you run?

Find the next number in the sequence

1, 2, 6, 21, 88, __?

What jumps when it walks and sits when it stands?

Rearrange the letters in "new door" to make one word.

Here is a mathematical expression that also secretly tells a movie name. What movie is that?

It walks on 4 when its young, walks on 2 when it's older, and walks on 3 when its very old?

Which alphabet letter is a question?

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?