[DarkForceRising]

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I am certian that your $2 bet counts as a wagered $2.
Not sure why you would surrender as it is a -EV move however..

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Actually, if you look at the Wizard of Odds BJ chart, there are situations where surrendering is the optimal (less -EV) move.

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The surrender option is a fantastic option (early surrender being even better). Although I can't articulate this with a bunch of equations the fact that few casinos offer it is pretty solid proof in itself.

Take it from a guy who got his start in gambling counting cards.