4 ms·

Wow, that expert mathematicians refused to accept the solution is quite amazing to me... When I was originally asked the Monty Hall problem, I asked "Does the

• nbouscal 13y ago
  The host has to know where the prize is, otherwise how could he open one of the two other doors after the player's first choice?
  • LanceH 13y ago
    I've seen it worded poorly where it is stated that contestant picks door 2 and then the host opens door 1 revealing an empty stage. The problem becomes to 50/50 if you change the rules that the host always opens the left most door not picked by the contestant.
    • nbouscal 13y ago
      If the host always opens the left-most door not picked by the contestant, the host would open the door on the prize one out of every three times.
      • Peaker 13y ago
        Indeed, and these cases are the ones we don't examine.
  • Peaker 13y ago
    Because it may be that the host opened a random door, which happened not to have the prize in it.
    • nbouscal 13y ago
      If that's the case then you're only examining a subset of the probability distribution, which means you're getting skewed results.
      • Peaker 13y ago
        Yes, and being asked about the nature of these skewed results.