Probability Puzzle

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A subject in an experiment is given drugs on Sunday that will make him fall asleep. A coin is tossed. If the coin lands heads the subject will be will be awaken on Monday only. If it lands tails he will be briefly awoken on Monday, made to sleep again, and then again briefly awoken on Tuesday. The subject cannot distinguish between the different days of awakening. The subject cannot keep track of time, and will forget being awoken on Monday after being Awoken on Tuesday.

Imagine you are the Subject and you have just been awoken. What is your subjective probability that the coin came up Heads?