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because the door you "selected" was never selected - it was never opened, nor the contents changed. it was the representation of a concept of a door, but it co
by beachstartup 12y ago
because the door you "selected" was never selected - it was never opened, nor the contents changed. it was the representation of a concept of a door, but it could have just as easily been the other door. in fact, in statistics land, that's exactly what it was. "one of the doors".
when you "switch", you're also switching the representation of a door from 1/3 to 1/2. and the odds are better when there are only 2 doors remaining.
remember, you don't always win by switching - it's not magic. over time, it just wins more often than not.
- pliftkl 12y agoThink about it this way. What if there were a million doors, and you pick one. The host then opens 999,998 other doors, showing you nothing behind them. Stick with your choice, or pick the other door? Of course you pick the other door - you had only a one in a million shot at picking the right door.
- beachstartup 12y agothis makes a lot of sense, i.e. "the chances of you picking the right door out of a million on the first try are basically zero. do you want to try the other door now?"