I don’t know. It’s a much more complicated problem, because you have 20 coin flips (if I understand the problem correctly). I haven’t taken the time to work through the math yet. It’s not obvious to me, though, why this corresponds to the sleeping beauty problem. In fact, it seems pretty clear that it doesn’t.
The reason it corresponds to Sleeping Beauty is that in the limit of a large number of trials, we can consider blocks of 20 trials where heads was the flip and all values of the die roll occurred, and similar blocks for tails, and have some epsilon proportion left over. (WLLN)
Each of those blocks corresponds to Sleeping Beauty under heads/tails.
I don’t know. It’s a much more complicated problem, because you have 20 coin flips (if I understand the problem correctly). I haven’t taken the time to work through the math yet. It’s not obvious to me, though, why this corresponds to the sleeping beauty problem. In fact, it seems pretty clear that it doesn’t.
The reason it corresponds to Sleeping Beauty is that in the limit of a large number of trials, we can consider blocks of 20 trials where heads was the flip and all values of the die roll occurred, and similar blocks for tails, and have some epsilon proportion left over. (WLLN)
Each of those blocks corresponds to Sleeping Beauty under heads/tails.