Apparently, I enjoy Probability Mathematics.
Here's one that came across yesterday:
You are on a gameshow, and there are three doors. Behind one door, there is a car. Behind the other two are goats. You are asked to pick the door you hope the car is behind. You make your choice.
The host then shows you what's behind one of the other doors. Naturally, he shows you some goats. Now there are two doors left, one of which is the door you picked. Behind one is the car, behind the other, goats.
The host gives you the option of sticking with the door you picked, or switching your choice to the other door.
Now, it seems as if this chance to switch would be fairly inconsequential. It seems as if, with two doors left, it's a 50/50 chance that you are right, so what's the point of switching. Or, what's the harm of switching?
But it's not a 50/50 proposition.
In fact, if you do switch, your chance of winning the car increases to 66%.
So, if you're ever in situations like this, always choose to switch and you'll be right 2 out of 3 times.