Probability

The probability section is divided into six subsections:

1. Combinatorics   ♠️♣️♥️

   • Permutation

   • Selection

   • The Binomial and Multinomial Theorems

   • Inclusion-exclusion Principle

2. Axioms of Probability ✏️ 

   • Monotonicity

   • The Difference Rule

   • Venn Diagram

3. Conditional Probability ?

   • Bayes' Formula

   • Law of Total Probability

   • Independence

4. Random Variables 🎲 

   • Discrete RV

   • Continuous RV

   • Probability Mass Function and Density Function

   • Expected Value

   • Variance and Standard Deviations

5. Limit Theorems  ➡♾️

   • Law of Large Numbers

   • Central Limit Theorem

6. Stochastic Processes ⛓️

   • Time-series Analysis

   • Martingales

   • Markov Property and Markov Process

   • Markov Chains

   • Brownian Motion