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

Symbol p

pp
pp

What this part means

its failure probability, and let severity be a random quantity C ≥\geq 0 describing how bad a given failure turns out to be, conditional on failure occurring.

Its job in the formula

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

Where the article explains it

Let p be an agent’s probability of completing a task successfully, so 1-p is its failure probability, and let severity be a random quantity C ≥\geq 0 describing how bad a given failure turns out to be, conditional on failure occurring.

The passage around this formula

It helps to state the structural point precisely rather than just by example. Let p be an agent’s probability of completing a task successfully, so 1-p is its failure probability, and let severity be a random quantity C ≥\geq 0 describing how bad a given failure turns out to be, conditional on failure occurring. The probability that a given run produces a failure whose severity clears some consequential threshold τ\tau — a deleted database rather than a clumsy sentence — is

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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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Sources cited in the article section

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