Until you realize the auto-fail is also a symbol this sounds like an amazingly good card. The insanely increased odds to just fail the test, no matter how many Ritual Candles you pack, make this card hard to play, I'd argue.
But who knows, maybe you don't wanna pass the test (survivor tech, anyone?), or just fire Agatha Crane's ability, or have Seal of the Seventh Sign out (although it won't last long if you play this card)...
EDIT - Fun fact: In theory, you could be stuck in an endless loop if you put Katarina Sojka together with Seal of the Seventh Sign and people sealing the other symbols via Protective Incantation, The Chthonian Stone, The Chthonian Stone, Bulwark, Crystalline Elder Sign, Day of Reckoning, Dial of Ancients, Serpents of Yig, Sign of Xelotaph, The Codex of Ages, and/or Unrelenting. This is also a great example why knowledge should be made easily accessible to the players in any game - because I am not even sure if being stuck in an endless loop counts as "having the potential to change the game state" and therefore would allow triggering Katarina's reaction ability or not. Yeah, the chaos bag is not endless, but it is at least undefined, if not an unreachable state. So what happens when you do this?