Four Chocolates, Blind Calls

A box holds 4 4 foil-wrapped chocolates that look identical: 2 2 dark and 2 2 milk. They are handed to you one at a time in random order; before unwrapping each one you must call "dark" or "milk," and you earn $1 \$1 for every correct call. You remember everything revealed so far and call optimally. What is the fair value of this game?

Answer

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