i like to use the 100 door case to highlight how the probability “transfers” to the remaining unopened door. i understand what you mean about it feeling like the rules are changing though. in some ways opening only 1 door would be more natural. that being said, if 98 doors open it stays true to the original game in the sense that after the doors get opened, you’re left with two closed doors. at least to me, this makes it clearer how the probabilities of the 98 doors get “transferred” to the remaining unopened door.
i also think part of the beauty of the 100 door explanation is that it does make it feel like the host wants you to change. in that way, increasing the number of opened doors brings out a “hidden truth” about why you should change doors.
but at the end of the day it’s all just a different way to understand the problem. if the traditional way makes more sense to you, then there’s value in that as well.
i like to use the 100 door case to highlight how the probability “transfers” to the remaining unopened door. i understand what you mean about it feeling like the rules are changing though. in some ways opening only 1 door would be more natural. that being said, if 98 doors open it stays true to the original game in the sense that after the doors get opened, you’re left with two closed doors. at least to me, this makes it clearer how the probabilities of the 98 doors get “transferred” to the remaining unopened door.
i also think part of the beauty of the 100 door explanation is that it does make it feel like the host wants you to change. in that way, increasing the number of opened doors brings out a “hidden truth” about why you should change doors.
but at the end of the day it’s all just a different way to understand the problem. if the traditional way makes more sense to you, then there’s value in that as well.