Monty Hall Problem Solution
You should switch doors!
The host always opens a different door from the door chosen by the player and it always reveals a goat. Why? Because Monty knows which door the car is behind. By removing one of the goats, Monty has left you with the top remaining door to pick. So you have to decide if you want to stick with your random door you picked out of the three, or the best door out of the two. Monty is letting us choose between a random, generic choice, or a curated, filtered choice. The filtered choice is better.
Contestants who switch have a 2/3 chance of winning the car.
The host always opens a different door from the door chosen by the player and it always reveals a goat. Why? Because Monty knows which door the car is behind. By removing one of the goats, Monty has left you with the top remaining door to pick. So you have to decide if you want to stick with your random door you picked out of the three, or the best door out of the two. Monty is letting us choose between a random, generic choice, or a curated, filtered choice. The filtered choice is better.
Contestants who switch have a 2/3 chance of winning the car.