3 ms·

What I find hard to undestand is why I should switch instead of randomly choosing again?

• Jtsummers 13y ago
  Consider the 3 door case, it's narrowed down to 2 doors. The one you selected has a 1/3 chance of being correct, the one you didn't has a 2/3 chance. If you randomly select between the two (50/50 odds) you come out with a 50% chance of picking the correct door. If you strictly switch, your odds are better, and if you stay the same the odds are worse.
• deleted 13y ago
  [deleted]
  • deleted 13y ago
    [deleted]
• adamio 13y ago
  Random choice would be optimal if the host didn't know the location of the car. If the host is blind & car wasn't revealed already, there's 1/2 chance. If the host knows & the car is hidden, then the remaining door has 2/3 chance