Jumping in here: the whole point of the paragraph right after defining “A” and “B” was to ensure we were all on the same page. I also don’t understand what you mean by:
Most ordinary people will assume it means that all the rolls were even
and much else of what you’ve written. I tell you I will roll a die until I get two 6s and let you know how many odds I rolled in the process. I then do so secretly and tell you there were 0 odds. All rolls are even. You can now make a probability distribution on the number of rolls I made, and compute its expectation.
Jumping in here: the whole point of the paragraph right after defining “A” and “B” was to ensure we were all on the same page. I also don’t understand what you mean by:
and much else of what you’ve written. I tell you I will roll a die until I get two 6s and let you know how many odds I rolled in the process. I then do so secretly and tell you there were 0 odds. All rolls are even. You can now make a probability distribution on the number of rolls I made, and compute its expectation.