The corrective agent has the exact same percentage chance at making the mistake. "Correcting" an assumption that was previously correct into an incorrect one.

If a singular agent has a 1% chance of making an incorrect assumption, then 10 agents have that same 1% chance in aggregate.

You are assuming statistical independence, which is explicitly not correct here. There is also an error in your analysis - what matters is whether they make the same wrong assumption. That is far less likely, and becomes exponentially unlikely with increasing trials.

I can attest that it works well in practice, and my organization is already deploying this technique internally.

How several wrong assumptions make it right with increasing trials?

You can ask Opus 4.6 to do a task and leave it running for 30min or more to attempt one-shooting it. Imagine doing this with three agents in parallel in three separate work trees. Then spin up a new agent to decide which approach of the three is best on the merits. Repeat this analysis in fresh contexts and sample until there is clear consensus on one. If no consensus after N runs, reframe to provide directions for a 4th attempt. Continue until a clear winning approach is found.

This is one example of an orchestration workflow. There are others.

  > Then spin up a new agent to decide which approach of the three is best on the merits. Repeat this analysis in fresh contexts and sample until there is clear consensus on one.

If there are several agents doing analysis of solutions, how do you define a consensus? Should it be unanimous or above some threshold? Are agents scores soft or hard? How threshold is defined if scores are soft? There is a whole lot of science in voting approaches, which voting approach is best here?

Is it possible for analyzing agents to choose the best of wrong solutions? E.g., longest remembered table of FizzBuzz answers amongst remembered tables of FizzBuzz answers.

We have a voting algorithm that we use, but we're not at the level of confidential disclosure if we proceed further in this discussion. There's lots of research out there into unbiased voting algorithms for consensus systems.

You conveniently decided not to answer my question about quality of the solutions to vote on (ranking FizzBuzz memorization).

To me, our discussion shows that what you presented as a simple thing is not simple at all, even voting is complex, and actually getting a good result is so hard it warrants omitting answer altogether.

Yeah, you've got unrealistic expectations if you expect me to divulge my company's confidential IP in a HN comment.

I had no expectations at all, I just asked questions, expecting answers. At the very beginning the tone of your comment, as I read it, was "agentic coding is nothing but simple, look they vote." Now answers to simple but important questions are "confidential IP."

Okay then, agentic coding is nothing but complex task requiring knowledge of unbiased voting (what is this thing really?) and, apparently, use of necessarily heavy test suite and/or theorem provers.

It was a scene from a sci-fi movie (i mean Claude demo to CTOs)

Nonsense. If you have 16 binary decisions that’s 64k possible paths.

These are not independent samplings.

Indeed. Doesn’t that make it worse? Prior decisions will bring up path dependent options ensuring they aren’t even close to the same path.

Run a code review agent, and ask it to identify issues. For each issue, run multiple independent agents to perform independent verification of this issue. There will always be some that concur and some that disagree. But the probability distributions are vastly different for real issues vs hallucinations. If it is a real issue they are more likely to happen upon it. If it is a hallucination, they are more likely to discover the inconsistency on fresh examination.

This is NOT the same as asking “are you sure?” The sycophantic nature of LLMs would make them biased on that. But fresh agents with unbiased, detached framing in the prompt will show behavior that is probabilistically consistent with the underlying truth. Consistent enough for teasing out signal from noise with agent orchestration.