On the initial choice yes. But on the second choice, that other door is a single door that is the sum of the odds of the other 99 doors. So you're second choice would be to keep the door you initially chose (1/100) or select the other door (99/100).
Remember, the host always knows which is the correct door, and if you selected incorrectly on the initial choice they will ALWAYS select the correct door for the second choice.
alt Hacker News
On the initial choice yes. But on the second choice, that other door is a single door that is the sum of the odds of the other 99 doors. So you're second choice would be to keep the door you initially chose (1/100) or select the other door (99/100).
Remember, the host always knows which is the correct door, and if you selected incorrectly on the initial choice they will ALWAYS select the correct door for the second choice.