# Büyük Sayılar Yasası

Canonical: https://manyspace.aporia.systems/tr/topics/law-of-large-numbers-mth-prob-209
Updated: 2026-10-13

Matematik · Probability · MTH-PROB-209

- Zorluk: 3 / 5
- Önem: 5 / 5
- Çalışma süresi: 4–7.5 sa

weak and strong forms, applications

## Neden önemli

The mathematics of uncertainty; foundation for statistics, ML, finance, quantum mechanics and stochastic processes.

## Nerede kullanılır

Risk assessment, A/B testing, machine learning models, financial derivatives, statistical mechanics, hiring decisions.

## Öğrendiğini nasıl anlarsın

Solve ≥10 representative problems with ≥80% adjusted accuracy.

## Önce neye ihtiyacın var

- [Kısmi İntegrasyon](https://manyspace.aporia.systems/tr/topics/kismi-integrasyon-mth-calc2-140) (gerekli)
- [Beklenen Değer ve Varyans](https://manyspace.aporia.systems/tr/topics/beklenen-deger-ve-varyans-mth-prob-204) (gerekli)
- [Sayma İlkeleri](https://manyspace.aporia.systems/tr/topics/sayma-ilkeleri-mth-disc-112) (yardımcı)

## Neyi açar

- [Merkezi Limit Teoremi](https://manyspace.aporia.systems/tr/topics/merkezi-limit-teoremi-mth-prob-210)
- [Monte Carlo Estimation and Importance Sampling](https://manyspace.aporia.systems/tr/topics/monte-carlo-estimation-and-importance-sampling-aiml-pgm-008)
- [Monte Carlo Prediction and Control](https://manyspace.aporia.systems/tr/topics/monte-carlo-prediction-and-control-aiml-rl-013)

## Kaynaklar

- An Introduction to Probability Theory (Vol 1) — William Feller
- Introduction to Probability (Blitzstein & Hwang) — Blitzstein & Hwang
- Introduction to Probability (Blitzstein & Hwang) — Blitzstein & Hwang