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Kaj_Sotala comments on Thinking Bayesianically, with Lojban - Less Wrong
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Kesselman's thesis suggests this mapping: Kesselman List of Estimative Words
I find the middle phrasing entirely unsatisfactory ("possible" is an obvious replacement), and the chunking is a little crude, but I do agree it should be impossible for most people to get the relative rankings wrong and invert any pairs. Not sure if it's better or not; need to read some of your cites, although the review's various PDF homes are all dead right now. EDIT: the book is available though.)
"Possible" seems to have two distinct meanings. The first one fits your usage, but the other is more of a binary expression, used to express the fact that something is not impossible. In other words, anything whose probability is equal or greater than 1% (say) can be tagged with "possible", and using this sense of "possible" for the 46-55% range seems wrong - it would deserve a stronger word. To avoid the risk of confusion about which sense is meant, I suggest using something like "entirely possible".
To me, 'entirely possible' doesn't convey around 50-50; so why bother sticking in an entire other word?