The Three Doors - (a.k.a. The Monty Hall problem)

Zane, a contestant on a game show, has a big decision to make. There are three doors in front of him and behind each door is a prize. The prize behind one of the doors is a shiny red sports car while the prize behind each of the other two doors is a goat (yes, a goat). The game show host asks Zane to choose a door. Zane squirms nervously before finally announcing his choice.

"Zane, I am feeling generous" says the game show host, "I will open one of the two doors you didn't choose which I know to have a goat behind it." So he does, and now there are only two closed doors, the one Zane picked and one other. The host continues "I will give you a chance to change your mind and choose the other closed door instead. Or, if you prefer, you may keep your original door choice."

What should Zane do?

a) Keep his original door choice
b) Choose the other door
c) It makes no difference either way

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