5 ms·
A very educational variant I've heard is to up the number of doors from 3 to 10000. Now that Monty is closing off 9998 doors, it makes the leap of logic much l
by yifanl 8y ago
A very educational variant I've heard is to up the number of doors from 3 to 10000.
Now that Monty is closing off 9998 doors, it makes the leap of logic much less difficult. Clearly the one door he didn't close off is special.
- ColinWright 8y agoPersonally, I find that completely uninformative. Others find it helpful and I won't deny their experience, but I find that no more convincing that proper arguments about the 3 door version. My variant was not intended to assist explaining the original, it's a variant intended to make people think again. It often exposes non-understanding in those who will blindly and automatically say "Switch". Here's another variant. 12 doors, I let you choose 3. I then open 4, leaving your chosen 3 and 5 others. I let you keep your original choice, or give them up to choose only one of the others. Should you switch now?
- grigri9 8y agoNo, In that P(3/12) = 25% The remaining doors have 75% probability and choosing 1/5 only gives you 15% chance of winning.
- ColinWright 8y agoCorrect. Explaining that to muggles, though, is non-trivial.