Nope, nothing is wrong with your math there. That is the actual sequence of events. You would be unable to make a decision, because the expected value of one is always higher than the other, regardless of which one you pick. We did this problem in my Stat class a month or two ago.
You're better off just flipping a coin, heads for the one on the left, tails for the one on the right, than trying to statistically figure out which will give you more money - you'll go insane trying to do that, as the math is cyclic. "If I choose A, then B gets me more money. So I choose B, but now A gets me more money - repeat"
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Eat antimatter, Posleen-boy!
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