If we actually performed that experiment, and you were to be killed if you guessed wrong, what would you answer to the question "Is the coin heads or tails?"?

If we actually performed that experiment, and you were to be killed if you guessed wrong, what would you answer to the question "Is the coin heads or tails?"? Then ask yourself, how afraid of dying would you be? (In particular, the reason why the probabilities don't work out that way is that on any given awakening, you have a 1 in 1,000,001 chance of it being heads, and a 1,000,000 in 1,000,001 chance of it being tails). If these previous arguments are not convincing, consider this (equivalent) alternative: what if you were woken up once on tails, but only 1 in 1,000,000 times on heads? What would you give as your credence that the coin came up tails then?