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Equation 20 · Part 6 · Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

=

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),
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

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

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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