There are people that win lotteries, that survives to airplane crashes... there's a guy that was hit both by hiroshima nuke and by Nagasaki nuke and survived.
It's called luck.
Btw,if you are interested, theoretically, if it wasn't rigged, the chance to get a gold initiative would be 1/25 per try, but I'm pretty sure is rigged.
P.S. not always people that claim to be f2p really are f2p.
I don't know where you are pulling the 1/25 from. The chance of someone getting gold initiative under the pre-condition of getting a gold somethingis 1/5 (well, slightly above that as two-at-same-time are possible). I don't really know what the probability of getting gold is, but that's hardly a matter of concern here as the OP is not interested in non-gold rolls.
The chance of someone getting 6 gold initiative w/o any other gold is 1/15625 -- something that is probably possible between all the servers.
However, the OP did not explicitly state that the player have no other gold. If, for example, he have a total of 10 gold with 6 init, which is still a significant majority to be of "concern", the chance is actually 0.637%. A small number to be sure, but not nearly small enough to not happen, in fact there would probably be dozens of those.
At the same time, the chance of player getting 5 gold wi/o init is 32.7%. A minority yes, but hardly surprising.
So nothing the OP stated shows any problem. He'd have to present much more complete data and at that mitigate self-selection bias etc to make a meaningful statement.
How many favourable outcomes you have? Numbers from 81 to 100 in initiative (that are 20), how many are the total possible outcomes? 500, Since you can get a random 1-100 in one of the 5 stats. 20/500 = 1/25. I never talked about getting it six times in a row.
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