You see a mathematical expression in the picture. Can you think of a movie that this expression refers to?

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 am I?

What has six faces, but does not wear makeup, has twenty-one eyes, but cannot see?

A tree doubled in height each year until it reached its maximum height over the course of ten years. How many years did it take for the tree to reach half its maximum height?

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

The barber of Town shaves all men living in the town. No man living in the town is allowed to shave himself. The barber lives in that town. Who then shaves the barber of the town?

Can you decipher the following common phrase?

T M C
A U O
H S M
W T E

What does this say?

XLR8

why number 8549176320 is one of a kind?