Equation 7 · Part 1 · Ten Failure Modes That Define Production AI Agent Architectures
Symbol q
What this part means
the probability.
Its job in the formula
q is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol q→Article meaning
Where the article explains it
Suppose a supervisor dispatches a task to k subagents running in parallel specifically to shorten wall-clock time, and each subagent independently produces a silently wrong or incomplete result — one that does not raise an error, only a bad answer the supervisor’s synthesis step has to catch — with probability q .
The passage around this formula
The trade-off has a clean, if deliberately simplified, shape. Suppose a supervisor dispatches a task to k subagents running in parallel specifically to shorten wall-clock time, and each subagent independently produces a silently wrong or incomplete result — one that does not raise an error, only a bad answer the supervisor’s synthesis step has to catch — with probability q . Under an independence assumption that will not hold exactly in practice, because subagents sharing a planner, a toolset, and a training distribution are correlated rather than independent, the probability that at least one branch’s bad output reaches the synthesis step unflagged is
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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