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Re:The Mathematics of the Rubik’s Cube (2009) [pdf] by seaneganx on Monday February 11, 2019 @07:16PM (#19139827)
https://www.worldcubeassociation.org/regulations/#4b3

The World Cube Association requires "equal probability for each state" by scramble programs used for their events.

You're right that a large number of rotations will result in something indistinguishable from random by an individual, but that is not sufficient according to WCA regulations as it's not uniformly random.

Re:The Mathematics of the Rubik’s Cube (2009) [pdf] by Retric on Monday February 11, 2019 @07:28PM (#19139903)
That’s not supporting your point, a solution that’s harder to mess up is suggested. Secondly, they specifically don’t want a truely ranodm sequence as they require a minimum number of moves from a solution.

If I can hand you multiple sets of 10^10 cubes and you can’t tell which method was used that’s what I mean from indistinguishable not simply humans can’t tell.