A bag contains one fair coin, two two-headed coins, and three two-tailed coins. Each of the six coins is flipped, but the outcomes of five of the coins are hidden from you, randomly. If the outcome you see is heads, what is the probability that the fair coin (which may or may not be the coin that was shown to you) landed heads up?
My attempt would be there are $12$ total faces and your looking for $5$ of those $12$. Not sure where to go from there