I have tried asking chatgpt, i have tried searching animations, I just dont get it!
Edit: I finally get it. If you choose a wrong door, then the other wrong door gets opened and if you switch you win, that can happen twice, so 2/3 of the time.
In: 296
What made it click for me was drawing a picture of all possible scenarios, which I’ll attempt to do using text here.
There are 3 possibilities for the 3 doors where only 1 has a car, the rest have goats. Let’s say in all 3 cases, you pick Door #1 (**BOLD)**
Case1) **Goat** Goat Car
Case2) **Goat** Car Goat
Case3) **Car** Goat Goat
So in 1/3 of the cases above, you’ve picked the door with the Car. Now, Monty Hall comes along and opens a door. As others have points out, Monty knows which door the car is behind, so he’ll never open that door. The door Monty opens will be ~~Struckthrough~~
Case1) **Goat** ~~Goat~~ Car
Case2) **Goat** Car ~~Goat~~
Case3) **Car** ~~Goat~~ Goat
So now, in 2/3 of the cases above, switching doors means you get a new car! Therefore, you’re statistically more likely than not to win a car if you switch doors
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