# Koşullu Olasılık ve Bağımsızlık

Canonical: https://manyspace.aporia.systems/tr/topics/conditional-probability-independence-mth-prob-198
Updated: 2026-10-13

Matematik · Probability · MTH-PROB-198

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

multiplication rule, independence of events

## 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

- [Örnek Uzaylar ve Olaylar](https://manyspace.aporia.systems/tr/topics/ornek-uzaylar-ve-olaylar-mth-prob-196) (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

- [Bayes Teoremi](https://manyspace.aporia.systems/tr/topics/bayes-teoremi-mth-prob-199)
- [Markov Zincirleri](https://manyspace.aporia.systems/tr/topics/markov-zincirleri-mth-stoch-337)
- [Bayesian Networks](https://manyspace.aporia.systems/tr/topics/bayesian-networks-aiml-pgm-001)

## Kaynaklar

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