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These are the odds of prizing three out of three tapu lele.
0.000584453535943892 is a pretty small number, but if he has truly played thousands of games, we can see what the chances of this happening at least once during any of those 2000 or so games are. The odds of at least one lele NOT being prized are 0.999415546464056. That's a good percentage, but you have to beat it 2k times, which means the cumulative probability of this not happening in two games is P^2, three games P^3, and so on.
The odds of you never getting a triple lele prize over 2k games is a modest 31%.
Randomized doesn't mean having an even distribution, and it doesn't mean having decent hands. It means fucking random. Take steven's advice.