Clustering illusion while seems to explain rng related problems, is not valid for a single observer.
It is valid.
If you roll a 6-sided die 3 times, there is a 1/36 chance you roll the same number all 3 times (
1/6 *
1/6). It doesn't matter if the die is rolled for someone else 500 times before, in between, or after. Furthermore, it doesn't mean the die is "bugged." On the 4th roll, you still have a
1/6 chance to roll the same number again.
When you play roulette in Las Vegas, it doesn't matter that
red 36 has only come up twice in the last 500 games, and
black 11 has come up 8 times. It likewise doesn't matter what numbers are coming up on other tables you're not playing on: Both
black 11 and
red 36 are still equal chance of wins in future games.
Any attempt to explain streaks or clusters in a sequence of random numbers other than with the clustering illusion concept, no matter how you divide up the sequence and give part of it to you, me, him, her, etc. is needlessly complicating a simple answer, superstitious, and/or wrong.
How a RNG should or shouldn't be used in a game, since some get prizes/wins immediately while for others it seems to never come, is subject for another debate.