Hmmm... How about this... someone above said that of the two envelopes, one has 1X and one has 2X. I like this way of thinking...
So, the average amount picked on the first pick would be 1.5X. Now you're risking 1.5X to either receive 2X or 1X. In other words, you're either gaining or losing .5X.
How's that for an argument?