Seeing it fail 10+ times in a row doesn't really mean anything, other than RNG can be cruel.
Which is why there are many, many memes about praying to RNGesus.
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You have to fail the interaction,
then the card comes into play and gives you a 75% chance for it not to be a strike.
You could, quite feasibly, fall in the opposing 25% bracket 100 times in a row. It would be particularly unfortunate, but it wouldn't alter the odds per spin.
They are independent probabilities, not cumulative. What happened in the previous spins has no bearing on what will happen in the current one. It's still a 3-1 chance, each time.
TBH You would probably be better off if you just equipped better cards, anyway.
The Quick Guide (OP) provides all of the answer details you need without worrying about cards, or, if you don't want to use that, the card that gives you the correct answers would obviously be a better option than the one you're using.
There's also a Settings option which removes the questions for those events, once you've VIP'd a guest to the respective level.
Then you only have to repeat the process once, for each guest, for each level.