pory@lemmy.world to 196English · 1 year agoMonty rule problemlemmy.worldimagemessage-square46fedilinkarrow-up1372
arrow-up1372imageMonty rule problemlemmy.worldpory@lemmy.world to 196English · 1 year agomessage-square46fedilink
minus-squareTh4tGuyII@kbin.sociallinkfedilinkarrow-up14·1 year agoSo essentially like this: Original door has 33% chance of being good, compared to 66% chance of the other 2 doors One of other two doors are opened by Monty, because he’s a swell guy! The two doors still have a 66% chance of being good, but since one of them is now opened, that 66% chance now only applies to the one other door Ergo there’s a 66% chance that if you switch doors, you’ll pick the right door
So essentially like this:
Original door has 33% chance of being good, compared to 66% chance of the other 2 doors
One of other two doors are opened by Monty, because he’s a swell guy!
The two doors still have a 66% chance of being good, but since one of them is now opened, that 66% chance now only applies to the one other door
Ergo there’s a 66% chance that if you switch doors, you’ll pick the right door