Equation 5 · Part 1 · Ten Failure Modes That Define Deployed AI Safety Systems
Symbol p
What this part means
the probability.
Its job in the formula
p is part of the quantity the equation computes from the expression on the right.
Full expression→Symbol p→Article meaning
Where the article explains it
Suppose a safeguard blocks a fixed, independently generated attack attempt with probability 1-p , so a single try succeeds only with probability p .
The passage around this formula
At p = 0.05 , a safeguard that looks 95% reliable per attempt, twenty tries already succeed with probability 1-(0.95)^{20} 0.64 , and by sixty tries cumulative success exceeds 0.95 — a per-attempt figure that reads as strong evidence of robustness collapses once retrying is free, which is precisely the black-box search loop several of the documented attacks above run automatically. This is not a result reported by any single cited study; it is the elementary shape of what those studies demonstrate empirically, and it is the reason a reported single-attempt block rate, on its own, answers a narrower question than it is usually taken to answer.
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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