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Equation 9 · Part 1 · Why Average Success Rate Hides the Failures That Matter Most

Symbol C

CC
CC

What this part means

C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

The success rate p says nothing at all about the second factor. Two agents can share an identical p of 0.99 while their conditional severity distributions, Pr⁡(C>τ∣failure)\Pr(C > \tau \mid \text{failure}) , differ by orders of magnitude — one agent’s failures cluster near the harmless end of C , the other’s failures put meaningful mass past τ\tau . A leaderboard built entirely on p ranks these two agents identically. An operator who deploys the higher-severity one because its accuracy number looked the same has made a real decision without the information that decision required.

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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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Sources cited in the article section

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