Reasoning is the same as in the standard case: Probability (when used as a degree of belief) expresses the measure of your entanglement with a given hypothetical world. However, it is interesting that in both cases we know what day it is, making this a particularly evil version: Even after Beauty walks out of the experiment their credence still stays 1⁄3 indefinitely (given it wasn’t heads/even in which case beauty will know everything upon waking up on wednesday)!
(a) 1⁄3 (b) 1⁄3
Reasoning is the same as in the standard case: Probability (when used as a degree of belief) expresses the measure of your entanglement with a given hypothetical world. However, it is interesting that in both cases we know what day it is, making this a particularly evil version: Even after Beauty walks out of the experiment their credence still stays 1⁄3 indefinitely (given it wasn’t heads/even in which case beauty will know everything upon waking up on wednesday)!