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
The key point that is crucial to understanding this.
#The host knows which door the prize is behind.
The host’s choice is **not** random.
The host will **always** open a door that has no prize behind it. Always.
So. If you choose an empty door first time round, the host will show you the other empty door, so switching will get you the prize.
If you choose the prize door first time around, the host will show you one of the empty doors, you switch and you lose.
But how likely are you to pick the prize first time round? One in three right? Which means picking an empty door first time round is two in three likelihood. Which also means, switching gives you a 2 in 3 likelihood of winning, as the only time that doesn’t get you the prize door is if you picked the prize door first time around. Which is 1 in 3 chance.
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