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Instructions of the Game
The picture below shows a collection of tiles: The first row contains 10 Green Square tiles, whereas the second row consists of 5 Green Circular tiles and 5 Yellow Circular tiles.
The game proceeds as below:
1. First, the computer randomly selects a tile. Each of 20 tiles has equal chance of being selected. You won't know which tile has been chosen until the end of the game.
2. Then you make a choice whether to look or not look.
3. If you choose to look, you get either a Green hat or a Yellow hat. If the computer selected a Green tile, you get a Green hat, and if the computer selected a Yellow tile, you get a Yellow hat.
If you choose to not look, you get a Yellow Hat.
Your payoff
You earn 100 points if the computer selected a Circular tile, and you got a Yellow Hat
You earn X points if computer selected a Square tile, and you got a Green hat. X will be randomly chosen from 20, 40, 60 and 80 points. You will be informed what X is before you make your choice.
You earn 0 points in all other cases.