Consider this Sleeping Beauty-like scenario: Some researchers are going to put Sleeping Beauty to sleep. During the seven days that the experiment will last, they will brietrie yto wake her up either once or seven times, depending on the toss of a fair coin (Heads: once; Tails: seven times). After each waking, they will put her to back to sleep with a drug that makes her forget that waking. When she is rstfirst awakened, to what degree ought she to believe that the outcome of the coin toss is Heads?
If we follow Elga's reasoning what is the answer here? Give some justication.
Considering Elga answers in the case of tails having her woken up 2 times, he says probabilites are 1/3, I think he'd answer 1/8 in this case as P(H on day 1)=P(T on day 1) and P(T on day 1)=P(T on day 2)=...=P(T on day 7).
Therefore, overall there are 8 options and with no room for discrimination he'd assign 1/8 to each. Is this reasoning correct?