# Koşullu Beklenen Değer

Canonical: https://manyspace.aporia.systems/tr/topics/conditional-expectation-mth-prob-206
Updated: 2026-10-13

Matematik · Probability · MTH-PROB-206

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

Tower property, conditioning as projection, 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

- [Birleşik Dağılımlar](https://manyspace.aporia.systems/tr/topics/birlesik-dagilimlar-mth-prob-205) (gerekli)
- [Kısmi İntegrasyon](https://manyspace.aporia.systems/tr/topics/kismi-integrasyon-mth-calc2-140) (gerekli)
- [Sayma İlkeleri](https://manyspace.aporia.systems/tr/topics/sayma-ilkeleri-mth-disc-112) (yardımcı)

## Neyi açar

- [Martingaller](https://manyspace.aporia.systems/tr/topics/martingaller-mth-stoch-341)
- [Potential Outcomes and Treatment Effects](https://manyspace.aporia.systems/tr/topics/potential-outcomes-and-treatment-effects-aiml-cau-002)

## Kaynaklar

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