4 ms·
I think this variation makes it more intuitively clear one should switch in the case with 100 doors, but I think it makes the explanation of why less clear beca
by cgriswald 4y ago
I think this variation makes it more intuitively clear one should switch in the case with 100 doors, but I think it makes the explanation of why less clear because of the extra, unnecessary information.
- lupire 4y agoI disagree. This version more vividly explains what's happening, making it easier to visualize, similar to illustrating an algebra problem by using easy small numbers instead of juggling variables.
- cgriswald 4y agoI think that's probably true for you and it's definitely true for some, but I've tutored many students in both algebra and discrete and am very familiar with the failure modes of students' thinking. The "Door 53" example makes it very easy for people to understand that in the case of 100 doors they should switch. It doesn't, however, always get them to see that the issue is fundamentally choosing between odds of 1:X and (X-1):X (or even that they should also switch with only three doors).