To those who don’t realize that switching is the right decision, it is extremely difficult to convince them.
The only way is to simulate it, really. Try the game about 1000 times. Switch half the time and don’t switch the other half. You’ll see you win more often if you switch.
Another way to look at it …
Start with 100 doors. Choose 1 door.
Now – I am going to take away 98 of the 99 remaining doors, with the promise that none of the 98 I eliminate contain the prize.
If you play this game a few times, you’ll soon realize that in 1 out of 100 cases, you will chose the right one in the first place, which means that if you switch you will be switching to the prize in 99 out of 100 cases.
I understand people who think it is 50/50 but they are wrong.
