Monty Hall invites you to his show. He shows you a fiery red sports car (A Ferrari 360 Spyder!) & two goats. He hides these things behind the doors numbered \(1, 2\) & \(3\). He now asks you to choose one of these three.

###### Image Credit : Numberphile

Suppose you choose **Door** \(1\). Now Monty Hall shows you **Door** \(2\). It contains a Goat! He then gives you two choices - stay with **Door** \(1\) or to switch to **Door** \(3\).

If you want to maximize your chances of winning the Ferrari in the **long run**, what would you choose?

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