[heydanreeves]

Since you don't know what is in either envelope surely both theoretically contain both x and 2x (al a Schrödinger's cat). Only upon opening an envelope will we know the amount; which one you take or how many times you swap make no difference.

Also swapping, in my understanding, doesn't increase your probability. In the first choice you 1 in 2 chance of gettng the higher amount. In the second choice (the ability to swap, which is fundamentally the same as choosing between the two envelopes) you have a 1 in 2 chance of getting the higher amount.

Correct me if I'm wrong.