What is the conditional probability that the coin is the double-headed?
I’m not exactly sure what the question is asking, but it seems to me that the probability of pulling out the double-headed coin is 33.3%, but the probability of pulling out any coin and having the outcome be heads is 50%. (The double headed coin having two heads and the regular coin having one head, you have three heads and three tails in the bag.) However, that is of course, being general, because repeated tests have shown that over time, the same “normal” coin flipped repeatedly will turn up heads SLIGHTLY (less than a percent) more than tails due to the weight distribution of the coin.
