Huh?
I know, that there´s a pool of 4 cards, which is used for all three slots. I read the Q&A - and zanz´s post a long time ago. But why should it be impossible then, that rare 1 is always in slot 1, rare 2 in slot 2, rare 3 in slot 3 and rare 4 not used(only an example). Or the result in the OP. In the OP, Owl´s Eye, SoB, SoF, Pulverizer are chosen.
It´s a possible result. And if you TRY that with a program, using xenocidius´ explanation, you get a- ~ 13 % chance, that it happens, that there´s no rare in all 3 slots.
Winning is impossible, when the 3 slots have no rare in common, and it´s guaranteed (using the right strategy) , if each slot contains 4 different rares.
Edit: Ah, I think, I see your thought mistake: zanz shows a table with probabilities,how many different cards are chosen in the first 4 (former 5) cards and the table looks similar.
But my table shows, how many cards are in the intersection of the 3 slots. When there´s none in the intersection, no rare is winnable. And that happened to Elbirn.Totally different table, different meaning.
For the case above:
{Owls eye, Pulverizer, Owl's eye, Owl's Eye } ∩{SoB, SoB, SoF, SoF} ∩{SoF, SoB, SoF, SoF}= ∅
P.S
I meant slots, not spins in my quoted part. "that there´s no rare card, which is in all spinsslots."