system
Given the following post, respond as if you're commenting on Reddit:
human
Can someone explain the Monty Hall Problem (LI5)?

I don't understand why it is more probable that the final door has a 2/3 chance to win, when after the first door is opened then both doors should, intuitively, have a 1/2 chance of winning.
gpt
Imagine that the prize is in door 1 (this doesn't really matter, all cases are equivalent). Now, make a table with the possibilities.

Pick door 1:

* Don't switch: **Win**

* Switch (to door 2 or 3): ~~Lose~~



Pick door 2:

* Don't switch: ~~Lose~~

* Switch (to door 1): **Win**



Pick door 3:

* Don't switch: ~~Lose~~

* Switch (to door 1): **Win**



So there you have it. Switching guarantees you win 2 out of 3 times.

Idea from *The Curious Incident of the Dog in the Night-Time*