I don't see the math. Once 3 is eliminated, you have a 1 in 2 chance period. The original math no longer applies to the current reality.
You had a one in three chance of picking the right curtain. Once one curtain has been drawn aside, the chance that you originally picked the right curtain is still one in three.
Here's an argument many people find convincing. Suppose there were a hundred curtains. You pick one, and then the game show host draws back 98 of them. Which is more likely, that you picked the right curtain first off, or that you picked the wrong one, and that therefore the one remaining curtain, the one that the host chose not to draw back, conceals the prize?
With three curtains, the reasoning is just the same, only with fewer curtains.