Skip to main content
The Incentives Lab
HBT-COG-0430 · Dimension COG · Cognition

Law of Large Numbers

As sample size grows, sample averages converge to expected values.

Probability·Mental Model·Grade B·draft· enriching…

Scientific Definition

As sample size grows, sample averages converge to expected values.

Plain-English Definition

As sample size grows, sample averages converge to expected values.

Feynman Explanation

Small samples lie. Large samples whisper the truth.

Core Principle

As sample size grows, sample averages converge to expected values.

Mechanisms

Psychological

Pending editorial review.

Behavioral Economic

As sample size grows, sample averages converge to expected values.

Neurological

Pending editorial review.

Evolutionary

Pending editorial review.

Sociological

Pending editorial review.

Computational

Pending editorial review.

Systems

Big decisions should rest on big samples.

Inputs (Triggers)

Pending editorial review.

Outputs (Behaviors)

Pending editorial review.

Behavioral Signature

Small samples lie. Large samples whisper the truth.

Examples

Everyday
  • A few bad customers are noise; thousands are a signal.
Modern (Organizational)
  • Big decisions should rest on big samples.
Historical

Pending editorial review.

Famous Experiments

Pending editorial review.

Design Principles

  • Demand larger samples before drawing conclusions.

Measurement Approaches

Pending editorial review.

Evidence

Evidence Grade
B (A strongest → E speculative)
Replication
★★★☆☆
Intervention Confidence
3 / 5
Consensus
Pending editorial review (HBT v1.0 auto-seed).
Limitations
Pending editorial review (HBT v1.0 auto-seed).
Open Research Questions

Pending editorial review.

Primary References

Pending editorial review.

Signature Section

The Perverse Incentive Lens™

How this behavior is exploited — and how to redesign around it.

Exploitation
Big decisions should rest on big samples.
Amplifying Incentives
Big decisions should rest on big samples.
Org Failure Modes
Big decisions should rest on big samples.
Societal Failure Modes
Pending editorial review (HBT v1.0 auto-seed).
Ethical Considerations
Pending editorial review (HBT v1.0 auto-seed).
Redesign Strategies
Demand larger samples before drawing conclusions.
Diagnostic Questions
  • Demand larger samples before drawing conclusions.
Warning Signs

Pending editorial review.

Red Flags

Pending editorial review.

Intervention Playbook
Individual
Demand larger samples before drawing conclusions.
Team
Pending editorial review (HBT v1.0 auto-seed).
Organization
Pending editorial review (HBT v1.0 auto-seed).
Policy
Pending editorial review (HBT v1.0 auto-seed).
AI Implications
Detection
Pending editorial review (HBT v1.0 auto-seed).
Measurement
Pending editorial review (HBT v1.0 auto-seed).
Mitigation
Pending editorial review (HBT v1.0 auto-seed).
Responsible Use
Pending editorial review (HBT v1.0 auto-seed).

Interactive Mini Network

Click any neighbor to re-center the graph and follow the threads of connection.

HBT-COG-0430 · COG
Law of Large Numbers
LOBRBase Rate FallacyBRBayes' Rule (Updating)BTBayes' TheoremBUBayesian UpdatingBLBeginner's LuckBSBlack SwanCoCoincidenceDiDistributionsErErgodicityFEFermi Estimate

Knowledge Graph Neighbors

Version History

v1.1.0 · 2026-06-28Initial auto-seed from corpus.