[TaurenHunter]

I like to think that probability is the ratio unknown/known, information available divided by all possibilities.

You know that a coin has 2 faces (known=2) and that if you toss it, 1 face will be up (unknown which=1).

The ratio is more about something in the mind than intrinsic to the objects.

That helped me understand why in the Monty Hall problem, when you switch doors, the probability of getting the prize increases.