# Probability Theory (Undergraduate)

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Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion.

## Description

This is undergraduate level materials. After the payment is received, user is able to download full sets of notes written by me.

Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion.

Topics include:

– Counting Method

– Axioms of Probability

– Conditional Probability and Independence

– Random Variables

– Continuous Random Variables

– Jointly Distributed Random Variables

– Properties of Expectation

– Limit Theorems