Suppose there are two types of coins, heads-biased coins and tails-biased coins. A heads-biased oin has a 3/4 probability of a heads, while a tails-biased coin has a 1/4 probability of heads. The roportion of all coins that are heads-biased is 1/7. Suppose that we flip a coin twice and it comes up HH. (a) For a standard Bayesian information processor: (i) What is the person's posterior probability that the coin is heads-biased? (ii) What is the person's forecast for a third flip being H?

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