I like this explanation. Another equivalent one that I wrote about a while back[0]:
You can choose to have:
- The most valuable prize that’s behind door A, or
- The most valuable prize that’s behind doors B or C
When you look at it this way, it’s obvious that you would rather have the most valuable prize from the ‘other’ doors, and the way to do that is to switch.
You can choose to have:
- The most valuable prize that’s behind door A, or
- The most valuable prize that’s behind doors B or C
When you look at it this way, it’s obvious that you would rather have the most valuable prize from the ‘other’ doors, and the way to do that is to switch.
[0] https://www.encona.com/posts/monty-hall-problem