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q=0.9q=0.9

Why this formula appears here

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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q=0.9q=0.9

Equation 20 · AI Agents & Systems

Reliable AI Agents Are Control Systems, Not Chatbots

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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.

Meanings in this article

  • qq: the one-run success probability.
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