Don’t know if this is new, but I can now see on the egg hatching screen which pokemon can hatch from a particular egg, sorted by likelihood. Very helpful, as I can now target eggs to hatch. Also interesting in that the game remembers what pokemon were in eggs based on the date the egg was received.
Yep, it’s been that way for about 6 months I think. The probability isn’t openly determined between each tier but doubtless Silph Road will do something on it if they haven’t already.