I came up with a clever solve I wanted to put here-
Use a random number generator when you enter the room to assign yourself a 51% chance of one-boxing and a 49% chance of two-boxing.
If Omega is smart enough to know your method but not to know the random outcome, then by probability you’re a one-boxer, so there will be 1 million dollars in the mystery box, and you have a 49% chance of getting an additional $1,000, and probably the best possible chance of getting away with the bragging rights of successfully two-boxing.
I came up with a clever solve I wanted to put here-
Use a random number generator when you enter the room to assign yourself a 51% chance of one-boxing and a 49% chance of two-boxing.
If Omega is smart enough to know your method but not to know the random outcome, then by probability you’re a one-boxer, so there will be 1 million dollars in the mystery box, and you have a 49% chance of getting an additional $1,000, and probably the best possible chance of getting away with the bragging rights of successfully two-boxing.