Probability operator

The passage around this formula

This is valuable for search: more attempts increase the chance of finding one acceptable candidate. Production consistency asks a different question. If k required deployments must all succeed, the same independence simplification gives $\Pr(\text{all }k\text{ succeed})=q^k$. The first rises with k ; the second falls. $\tau$ -bench introduced a repeated-trial metric in this spirit and reported substantial deterioration across repeated tool-agent-user runs in its evaluated setting [ 9 ] . Coding-agent reports should state whether multiple trajectories were sampled and selected, or whether one configured system succeeds repeatedly.

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