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Equation 17 · Reliable AI Agents Are Control Systems, Not Chatbots

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qq

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the one-run success probability. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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qq

Symbol q

the one-run success probability.

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For a simplified independent model with one-run success probability q , the probability of succeeding in every one of k deployments is qkq^k . At q=0.9 , eight consecutive successes occur with probability only 0.9^8≈\approx0.43 . Independence is again unrealistic, but the calculation expresses the right operational demand: a bank, compiler, or datacenter does not consume an average demo. It consumes a sequence of particular decisions.

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