What is the criteria for draw is better for others vs draw is worse for others. Isn’t it about being a good draw for them or a poor draw for them? I don’t understand “good for others” “bad for others”.
Also, the actual events themselves provide a different source of data because the qualification format changes by the year/event, it is never 100% uniform each year.
Individual Worlds were interesting because the 3 slots were divided up into 4 subdivisions, or in the case of 2002, 2 slots into 3. So in the case of 4 subdivisions, each NOC has a 75% chance of getting drawn into subdivision 1.
When you look at the Olympics these are limited to only 12 full teams, as opposed to 24 or more. With less subdivisions 4 and later 5. Starting in 2016 and also in 2020, the FIG decided that they would formally create two subdivisions of two full teams and three subdivisions of three full teams, so that teams and individuals are equally distributed, to avoid 2012 when Brazil was in a subdivision by themselves. This is because of the number of extra individuals that have qualified since it is no longer 6 gymnasts per team. Obviously when there are factors and limits in place, the draw will look less random.
For example if only 2 full teams compete in the first subdivision then all teams have a 16% chance of being in the first subdivision. The next subdivision is 3 full teams, with ten teams left so getting drawn for that subdivision increases to 30%.
Worlds is also slightly different now as well in terms of pre Olympics Worlds, in qualifications there are 24 full teams and with 12 subdivisions, each subdivision has two full teams and two mixed groups. So there is no probability for 4 full teams to get drawn together any longer. Chances of getting drawn to the first subdivision for all teams is 8%.
So technically, it is not a fully blind/random draw since there are criteria/factors to be followed, such as the number of full teams per session being set.