Also a mathematician; also think this is not a real silver bullet. However, I think for those who don't prove the result, the visual intuition of opening 999 99

Also a mathematician; also think this is not a real silver bullet. However, I think for those who don't prove the result, the visual intuition of opening 999 998 doors is sensible. The problem to me is more that when you go back down from 1M to 3 doors one can just as well say again "but now we only have three doors". Meaning that a proof of the original problem is the only satisfactory answer; the 1M comparison is maybe for people that don't like proofs and want "evidence".