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?

The picture shows the dice results in each couple of throws. If they are actually following a pattern, can you find out the missing one?

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?

When can we add 2 to 11 and get 1 as the correct answer?

O_er_t_o_

Complete the missing letters of the given word.

Guess the hidden movie name?

Take 9 from 6, 10 from 9, 50 from 40, and leave 6.

How Come ??

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

There is a number which when you multiply by 3 and subtract 2 from the result, then the resulting number is the reverse of the actual number.

What is the smallest number that stands true on the statement?

John is a strange liar.

He lies on six days of the week, but on the seventh day, he always tells the truth.

He made the following statements on three successive days:

Day 1: "I lie on Monday and Tuesday."
Day 2: "Today, it"s Thursday, Saturday, or Sunday."
Day 3: "I lie on Wednesday and Friday."

On which day does John tell the truth?