
Originally Posted by
Cantih
The structure of the logic makes much more sense if you scale the problem to the 1 million doors example. (999,998 doors opened. What are the odds you picked the right door first, so yeah, the other door is most likely the win.)
But at three doors, while the math still favors switching, it's understandable to not, because the difference in odds between two is far closer than the million doors version.
At 1/3, you reasonably could have made the right choice the first time, whereas at 1/1,000,000 it's unreasonable.