The Daily game also has three QQ questions (appearing in slots 5, 10 and 15 - at least that's where I just got them). Altogether, there are quite a lot of opportunities:
KO - approximately 200 weekly tourneys, 15 pairings and 3 questions makes some 9,000 chances.
Daily - some 1,000 chances a week
Hourly mixed - all QQ, with hourly events. Since this has random questions, I would assume at least 30-40 per hour, giving around 7,000 per week.
FTBot quizzes and similar events add a few more, so we will see about 20,000 opportunities for a quest question to be chosen every week. There are currently about 30,000 out there, but for the games mentioned above, only those in the sweet spot range for difficulty qualify. That's, from my experience, fewer than half of them.
So - for every question that is rated 0.00 or better and has a "correct" percentage between 55 and 95, you can count on it being chosen on average once or twice a week. For each time it does get chosen, it will be played anywhere between 2 (KO) and 100 (Daily) times.
So I hope this will soothe any fears that these questions may just rot away. They won't.
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Guardian of the Tower