Small note: If you want P(Prius is net positive), you should try P(AGW)×P(prius|AGW) + P(not AGW)×P(prius|not AGW). I.e. use the sum rule too, otherwise you end up calculating a big conditional probability instead of the total probability.
Small note: If you want P(Prius is net positive), you should try P(AGW)×P(prius|AGW) + P(not AGW)×P(prius|not AGW). I.e. use the sum rule too, otherwise you end up calculating a big conditional probability instead of the total probability.