I have a probability question that reads:
A box has three coins. One has two heads, another two tails and the last is a fair coin. A coin is chosen at random, and comes up head. What is the probability that the coin chosen is a two headed coin.
P(two heads coin| given head) = P(two heads coin * given head)/P(given head) = 1/3/2/3 = 1/2
Not sure whether this is correct?