I misread it, as: > I then say clearly that I will remove 6 of the other cups. And, to retain the mystery, I will not reveal the prize. It wasn't a criticism.

I misread it, as: > I then say clearly that I will remove 6 of the other cups. And, to retain the mystery, I will not reveal the prize. It wasn't a criticism. I just wanted to draw attention to the point that in the random game (I.e. player marks two, you reveal 6 random unmarked, if no prize is revealed, player decides to switch to one or to keep two) it is the better strategy to never switch. Do you think it would be an interesting variant to play the game like that?