Notes on Probability Theory

TL;DR

This paper introduces a set of undergraduate-level notes on Probability Theory designed for easy learning, summarizing key results without proofs, based on a university course, and aims to aid students' understanding.

Contribution

It provides a concise, proof-light set of probability notes tailored for undergraduates, available online for accessible learning.

Findings

Summarizes key probability results

Designed for undergraduate teaching

Based on a university course

Abstract

This is the first of the proposed sets of notes to be published in the website Gonit Sora (http://gonitsora.com). The notes will hopefully be able to help the students to learn their subject in an easy and comprehensible way. These notes are aimed at mimicking exactly what would be typically taught in a one-semester course at a college or university. The level of the notes would be roughly at the undergraduate level. The present sets of notes are not yet complete and this is the second version that is being posted. These notes contain very few proofs and only state the important results in Probability Theory. These notes are based on the course taught at Tezpur University, Assam, India by Dr. Santanu Dutta. There may be some errors and typos in these notes which we hope the reader would bring to our notice.