(Also called the monty hall problem)
Imagine you're on a game show:
Step 1: You pick a door.
Step 2: The host (who knows where the car is) opens another door (that you did not pick) and shows a goat.
Step 3: You have 2 options:
Switching is always better (wonder why?)
Pick a door. Then click again to either stay or switch.
Switching won't allways work (66%), but staying makes the chance of getting a car (33%) even less probable. Find out why switching is better below. ↓↓↓
Switching will give you a better chance of finding the car. To find out why switching is better, you need to find out all possible solutions.
Remember: the host can only open doors that have goats and you didn't choose.
To make this clear, assume you always pick Door 1. (It won't change the chance of getting the car.)
👉 Switching is twice as likely to win.
When you first pick a door, you only have a 1/3 chance of being correct.
That means there is a 2/3 chance the car is in the other two doors.
The host then removes one wrong door on purpose, leaving all that probability on the remaining door.
Switching = taking the 2/3 chance.