Not totally relevant, but I once discovered it's pretty easy to cheat a coin toss, at least with an Australian 20c coin. Flip the coin, catch in your hand, and in the process of transferring it to the back of your other hand, feel which way up it is, and optionally flip it.
With our coins, the head (the Queen's face at the time) is pretty distinct with a large smooth area, compared to the rough feel of the platypus and water.
So if ever you're flipping for anything that matters, make sure the coin lands directly on the ground.