There’s a type of problem that is recognizably a “1/e problem”, in the sense that you expect the answer will somehow involve 1/e, but I haven’t been able to make this intuition precise. What properties about a problem make it likely that 1/e shows up?
Some of the above problems involve use of the inclusion-exclusion principle, which is a typical way 1/e can show up in these problems, but e.g. the secretary problem does not.
The answer to all of them is 1/e?
That’s right :)
There’s a type of problem that is recognizably a “1/e problem”, in the sense that you expect the answer will somehow involve 1/e, but I haven’t been able to make this intuition precise. What properties about a problem make it likely that 1/e shows up?
Some of the above problems involve use of the inclusion-exclusion principle, which is a typical way 1/e can show up in these problems, but e.g. the secretary problem does not.