Final answer:
The major camps regarding the Sleeping Beauty problem are a) Halfers, thirders, and question-statement-is-ill-defined-ers. The Halfers camp believes that the probability of the coin flip being heads or tails is both 1/2. The thirders camp believes that the probability of the coin flip being heads is 1/2 but the probability of the coin flip being tails is 1/3.
Step-by-step explanation:
The major camps regarding the Sleeping Beauty problem are a. Halfers, thirders, and question-statement-is-ill-defined-ers. In this problem, Sleeping Beauty is put to sleep and then woken up where she is told about a coin flip.
If the coin flip is heads, she is put back to sleep and woken up on Monday. If the coin flip is tails, she is put back to sleep and woken up on Monday and then put back to sleep and woken up again on Tuesday.
The major camps arise from differing opinions on probability assignment and information update. The Halfers camp believes that the probability of the coin flip being heads or tails is both 1/2.
The thirders camp believes that the probability of the coin flip being heads is 1/2 but the probability of the coin flip being tails is 1/3. The question-statement-is-ill-defined-ers camp argues that the problem is ill-defined and cannot be answered definitively.
They feel that the problem lacks clarity and assumptions are needed to provide a clear answer. In conclusion, the major camps regarding the Sleeping Beauty problem are a. Halfers, thirders, and question-statement-is-ill-defined-ers.