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Equation 3 · Part 2 · Why Average Success Rate Hides the Failures That Matter Most

≥

C≥0C \geq 0
≥

What this part means

Greater than or equal to.

Its job in the formula

Greater than or equal to.

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

An inequality compares values without claiming they are equal. It describes a range, threshold, or bound that a quantity may satisfy.

Open the illustrated inequalities: bounds and allowed ranges guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.