game with a not too obvious solution

[doormat]

Ok, I write down a number on a piece of paper. Then I flip a coin - heads I write a larger number on the other piece of paper, tails I write a smaller one. To my way of thinking, no matter which paper you choose and no matter what number you see on it, it is a random equal chance that it will be high or low because of the coin flip. So exactly what is your function that will predict how my coin flips?

doormat