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?

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