The Halfers are right, but many were anyway wrong: Sleeping Beauty Problem

In this paper, I will examine the representative halfer and thirder solutions to the Sleeping Beauty Problem. Two solutions give different answers for the probability of today being Monday that the sleeping beauty should rationally assign. Then by examining the definition of events, it is concluded that the representative thirder solution is wrong and the halfers are right, but that the representative halfer solution also contains wrong logical arguments