Upvoted for interesting idea, but I don't think it's wise. A comparison to standard probability will demonstrate why:
You have a jar with 40 red balls, 20 white, 20 green, 10 blue, and 10 yellow. What strategy maximizes your chance of predicting the color of ball you get?
Strategy 1 has a 40% chance to win. Strategy 2 has a 26% chance to win. I think some of your "good" list should be on the bad side, and you've missed the most important selector: most likely to be correct (whatever "correct" means to you, using the same definition that you assigned probabilities in the first place).
You also have a very tough problem of enumeration and assignment of probability. That tail is pretty darned long.
Not to take this too seriously, but there are some classic issues with time-inconsistent preferences. Long story short, on Kantian Ethics day it probably sounds pretty good to change my moral uncertainty lottery to favor Kantian Ethics. And if for some reason this is blocked, I will try to do the nearest similar thing - signing contracts or otherwise trying to constrain myself to follow Kantian Ethics in the future.
This is a crosspost from the EA forum
The Model
There have been many models proposed to resolve moral uncertainty, but I would like to introduce one more. Instead of acting in accordance to the moral theory we are most confident in (my favorite theory) or making complex electoral systems (MEC, the parliamentary model), we might want to pick a moral theory at random. Just assign to every moral theory you know the probability of how confident you are about this theory, put them in a row from least to most likely (or any sequence really) and pick a random real number between 0 and 100. E.g: Say you have 1% credence in 'Kantian ethics', 30.42% in 'Average utilitarianism' and 68.58% in 'Total utilitarianism' and you generate the random number 31, you will therefore pursue 'Average utilitarianism'. Whenever you update your probabilities you can reroll the dice (another version would be that you reroll at a fixed frequency of intervals, e.g every day). Here are some of the advantages and disadvantages of this model.
The Good
The Bad
Overall I'm not really convinced this is the path to a better model of moral uncertainty (or value uncertainty, since this model could also be applied there). I think some variation of MEC is probably the best route. The reason I posted this was because: