So you think you understand gambling odds, eh? Well, try this...
Imagine you're on a game show, and you're given the choice of three doors. Behind one door is a car; behind each of the other two, a goat.
You pick a door, say No. 1, and the host opens one of the remaining two doors, say No. 3, to reveal a goat. He says to you, "Do you want to stick with the door you've chosen, or do you want to change your mind and go for door No. 2 instead?"
Question: Is it to your advantage to switch your choice of doors?