$1, 2$ & $3$. He now asks you to choose one of these three.

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 numberedSuppose 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?