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?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.