If that doesn&#x27;t count as new information, does waking up if you were to only wake on tails count as new information?<p>If yes, what&#x27;s the justification for distinguishing the two?<p>What happens if you are told it&#x27;s your first awakening as soon as you get up? Bayes theorem would imply you can&#x27;t think the chances of heads stay the same before and after hearing this, so at least one must not be 50%.