What about the Monty Hall problem, which is one of my favourites, popularised in the Curious Incident of the Dog and the Night Time:
You are on a game show where there are three closed boxes, two of which contain a Unipac and one of which contains a Robin Mather, custom built to your specification. You pick a box. The host (VB?) opens one of the other boxes and shows you a Unipac inside it. Is it in your favour to change the box that you picked, to stick with your original choice, or does it not make any difference?
Change your pick!
There's three possible scenario's, if you change your pick you will win the Robin Mather with 2 of the 3 scenario's. Sticking with your pick you only win the Mather with 1 of the 3 scenarios.
Change your pick!
There's three possible scenario's, if you change your pick you will win the Robin Mather with 2 of the 3 scenario's. Sticking with your pick you only win the Mather with 1 of the 3 scenarios.