Monty Hall Problem

Discrete Mathematics Level 1

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.

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?

Image Credit : Numberphile

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