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Equation 20 · Part 5 · Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

Symbol r_i

Ki=1−(1−pi)(1−di)(1−ci)(1−ri),K_i=1-(1-p_i)(1-d_i)(1-c_i)(1-r_i),
rir_i

What this part means

effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.

Its job in the formula

rir_i is one of the signed contributions combined to compute the quantity on the left.

Where the article explains it

where pip_i,did_i,cic_i,rir_i are effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.

The passage around this formula

For failure mode i , define control coverage Ki=1−(1−pi)(1−di)(1−ci)(1−ri)K_i=1-(1-p_i)(1-d_i)(1-c_i)(1-r_i). where pip_i,did_i,cic_i,rir_i are effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption. The equation should not be used to manufacture precise risk numbers; controls are correlated and measurements sparse. It communicates why a single impressive guardrail cannot justify broad authority.

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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