Skip to content

Ahmed Thahir

Probability

Initializing search

Ahmed Thahir

👋 Welcome!
📝 Contributing
General
1 Core
1 Core
- Bio Lab
  Bio Lab
  - Exp 01
  - Exp 02
  - Exp 03
  - Exp 04
  - Exp 05
  - Exp 06
  - Exp 07
  - Exp 08
  - Exp 09
  - Exp 10
- Chem Lab
  Chem Lab
  - Exp 01
  - Exp 02
  - Exp 03
- Computer Programming
  Computer Programming
- Electrical Science
  Electrical Science
  - Introduction
- Engineering Graphics
  Engineering Graphics
- General Biology
  General Biology
- General Chemistry
  General Chemistry
- Math 1
  Math 1
- Math 2
  Math 2
- Physics Lab
  Physics Lab
- Probability & Statistics
  Probability & Statistics
- Technical Report Writing
  Technical Report Writing
- Thermodynamics
  Thermodynamics
- Workshop
  Workshop
  - Lab
  - Lecture
2 Core
2 Core
- Data Structures & Algorithms
  Data Structures & Algorithms
  - 01 Algorithms
  - 02 Data Structures
  - 03 Stacks
  - 04 Queues
  - 05 Lists
  - 06 Searching
  - 07 Sorting
  - 08 Hashing
  - 09 Collision Handling
  - 10 Trees
  - 11 Binary Trees
  - 12 Heap
  - 13 Graphs
  - 14 Tries
  - 15 AVL
  - 16 B Tree
  - Tensors
  - Practicals
    Practicals
    
    00 Practice Lab
    
    01 Stacks
    
    02 Circular Queues
    
    03 DLL
    
    04 Search
    
    05 Merge Sort
    
    06 Hashing
    
    07 BST
    
    08 Heaps
    
    09 Heap Sort
    
    10 DFS
- Database Systems
  Database Systems
  - 01 Theory
  - 02 ER
  - 03 SQL
  - 04 SQL Select
  - 05 Intermediary
  - 06 Miscelaneous SQL
  - 07 Relational Model
  - 08 Relational Algebra
  - 09 Relational Calculus
  - 10 Functions, Triggers
  - 11 Database Design
  - 12 Indexing
  - 13 Transactions
  - 14 Advanced
  - Hierarchical
  - Practicals
    Practicals
    
    00 Intro
    
    01
    
    02
    
    03
    
    04
    
    05
    
    06
    
    07
    
    08
    
    09
- Digital Design
  Digital Design
- Discrete Structures
  Discrete Structures
- Logic in CS
  Logic in CS
- Math 3
  Math 3
- MicroProcessors & Interfacing
  MicroProcessors & Interfacing
  - 01 Intro
  - 02 Addressing
  - 03 Assembly Programs
  - 04 String Instructions
  - 05 More Instructions
  - 06 Jumps, Loops
  - 07 Stacks
  - 08 Subroutines
  - 09 Hardware
  - 10 Pin Out Address
  - 11 Pin Out Control Data
  - 12 Pin Out System
  - 13 Machine Cycles
  - 14 Memory Banking
  - 15 Interrupts
  - 16 IO Interfacing
  - Practicals
    
    Practicals
    
    01
    
    02
    
    03
    
    04
    
    05
    
    06
    
    07
    
    08
- Object Oriented Programming
  Object Oriented Programming
  - 01 Intro
  - 02 Classes
  - 03 Arrays
  - 04 Strings
  - 05 Lists
  - 06 Inheritance
  - 07 Compare
  - 08 Exceptions
  - 09 Thread
  - 10 Cloning
  - 11 GUI
  - 12 UML
  - 13 Design Patterns
3 Core
3 Core
- Compiler Contruction
  Compiler Contruction
- Computer Architecture
  Computer Architecture
  - 01 Intro
  - 02 Performance
  - 03 ISA
  - 04 Arithmetic
  - 05 Floating Point Arithmetic
  - 06 Datapath
  - 07 Pipelining
  - 08 Memory
  - 09 Cache Optimization
  - Lab
    Lab
    
    00 Setup
    
    01
    
    02
    
    07 Procedures
    
    08 Procedures 2
    
    09 Floating Point
- Computer Networks
  Computer Networks
- Design & Analysis of Algorithms
  Design & Analysis of Algorithms
- Immunology
  Immunology
- Operating Systems
  Operating Systems
- Principles of Programming Languages
  Principles of Programming Languages
- Theory of Computation
  Theory of Computation
CS Electives
CS Electives
- 3D Printing
  3D Printing
- AI
  AI
- AI in Robotics
  AI in Robotics
- API
  API
- Audio
  Audio
  - Introduction
  - Keyword Spotting
- Blockchain
  Blockchain
- CSE
  CSE
  - 01
- Cloud Computing
  Cloud Computing
- Computer Vision
  Computer Vision
- CyberSecurity
  CyberSecurity
- Data Engineering
  Data Engineering
  - Data Intensive Applications
  - 02 IDK
- Data Mining
  Data Mining
- Deep Learning
  Deep Learning
- DevOps
  DevOps
  - Types of Apps
  - Unit Testing
- Distributed Systems
  Distributed Systems
- Federated Learning
  Federated Learning
- Fintech
  Fintech
  - Introduction
- Generative AI
  Generative AI
  - Introduction
- IoT
  IoT
  - Introduction
  - Communication Protocols
  - Cloud Platforms
  - Custom IoT Server-Side Solution
  - Devices
    
    Devices
    
    Color Sensor
    
    Digital Humidity and Temperature
    
    GPS
    
    Integrated Chips
    
    IMU
    
    Infrared Sensor
    
    LCD Display
    
    LDR
    
    LED
    
    LiDar
    
    Odometer
    
    Radar
    
    Relay
    
    Stereo Cameras
    
    Ultrasonic
- LLM
  LLM
  - Introduction
- Machine Learning
  Machine Learning
- NLP
  NLP
- NNFL
  NNFL
- Optimization for AI
  Optimization for AI
- Programmable Electronics
  Programmable Electronics
- Quantum Computing
  Quantum Computing
- RL
  RL
- Robotics
  Robotics
- Tiny ML
  Tiny ML
Economics
Economics
- Behavioral Economics
  Behavioral Economics
- Causal Inference
  Causal Inference
- Development Economics
  Development Economics
  - Introduction
  - Poverty Traps
- Econometrics
  Econometrics
- Environmental Economics
  Environmental Economics
- Game Theory
  Game Theory
  - Introduction
- Industrial Organization
  Industrial Organization
  - Introduction
  - Industry
- International Economics
  International Economics
- Macroeconomics
  Macroeconomics
- Managerial Economics
  Managerial Economics
- Microeconomics
  Microeconomics
- Public Policy
  Public Policy
HSS Electives
HSS Electives
- Foreign Policy
  Foreign Policy
- IDS
  IDS
- International Relations
  International Relations
  - 01 Intro
  - 02 History
  - 03 Current World
  - 04 Theories of IR
  - 05 Issues of IR
  - 06 Softpower
  - 07 Poverty
  - 08 Role of Economics in IR
  - 09 Class Presentations
  - Project
    Project
    
    Report on 'The Uncontrolled Rise of China'
    
    Presentation
- Politics
  Politics
Management
Management
- Accounts
  Accounts
  - 01 Introduction
  - 02 Principles of Accounting
  - 03 Process of Accounting
  - 04 Financial Statements
  - 05 Fixed Assets & Depreciation
  - 06 Cost of Sales & Inventories
  - 07 Analysis of Financial Statements
  - Side Quests
    Side Quests
    
    Current Maturity
    
    Insolvency
- Business Analytics
  Business Analytics
- Consulting
  Consulting
  - Consulting
  - 02 Management Consulting
- Corporate Finance
  Corporate Finance
- Financial Forensics
  Financial Forensics
- HR
  HR
- Lean
  Lean
  - Introduction
- MBFM
  MBFM
- Management
  Management
- Marketing
  Marketing
- New Venture Creation
  New Venture Creation
- Operations and Revenue Optimization
  Operations and Revenue Optimization
  - 01 Introduction
  - Airline Industry
- Risk Management
  Risk Management
  - 99 Risk Neutral Valuation
- Risk and Decision Analysis
  Risk and Decision Analysis
- SAPM
  SAPM
- Sales
  Sales
- Strategy
  Strategy
  - Introduction
- Systems Engineering
  Systems Engineering
Masters
Masters
- GRE
  GRE
  - English
    English
    
    Vocabulary
    
    Blanks
    
    Reading Comprehension
    
    Writing
  - Math
    
    Math
    
    Algebra
    
    Arithmetic
    
    Coordinate Geometry
    
    Counting
    
    Data Interpretation
    
    Geometry
    
    Integers
    
    Percents & Ratios
    
    Powers & Roots
    
    Probability
    
    Quantitative Comparison
    
    Statistics
    
    Word Problems
- IELTS
  IELTS
Math Electives
Math Electives
- Numerical Analysis
  Numerical Analysis
- Optimization
  Optimization
Mech
Mech
- FEA
  FEA
  - Cracks
Misc
Misc
- Diet
- Misc
- AI Healthcare
  AI Healthcare
- Design
  Design
  - Introduction
  - Asset Types
- Digital Transformation Best Practices
  Digital Transformation Best Practices
  - App
  - Automation
  - Database
- DoE
  DoE
- Driving
  Driving
- Energy
  Energy
- Reproducible Research
  Reproducible Research
- Sports
  Sports
School
School
- Computer Science
  Computer Science
- Linux Fundamentals
  Linux Fundamentals
  - Bash
- Math
  Math
  - 01 Trignometric
  - 02 Integration
Tools
Tools
- Windows
- Misc
- AI & Data
  AI & Data
  - Model Specification
  - Facebook Prophet
    
    Facebook Prophet
  - IBIS
    
    IBIS
  - Lux
    
    Lux
  - MLFlow
    
    MLFlow
  - Marimo
    
    Marimo
  - Numpy
    
    Numpy
    
    01
  - ONNX
    
    ONNX
  - OpenCV
    
    OpenCV
  - Pandas
    
    Pandas
    
    IDK
    
    02
  - Polars
    
    Polars
    
    Introduction
  - PyTorch
    
    PyTorch
    
    Introduction
    
    Basic Model
    
    Architectures
    
    Advanced
    
    Performance Optimization
  - Scipy
    
    Scipy
    
    01
    
    Regression
    
    Jax
  - Sklearn
    
    Sklearn
    
    01 IDK
    
    01 Performance Optimization
    
    Custom
    
    KNN
    
    Persistence
    
    Clustering
    
    Boosted Trees
    
    Feature Selection
    
    Model Selection
    
    Untitled
  - Sktime
    
    Sktime
    
    Introduction
  - StatsModels
    
    StatsModels
    
    Introduction
  - Streamlit
    
    Streamlit
  - Sympy
    
    Sympy
  - Tensorflow
    
    Tensorflow
    
    TensorFlow
    
    TensorFlow Lite
    
    TensorFlow Lite Micro
  - Httpx
    
    Httpx
  - Pywav
    
    Pywav
- API
  API
  - FastAPI
    
    FastAPI
  - Flask
    
    Flask
  - Robyn
    
    Robyn
- App Dev
  App Dev
  - Streamlit
    
    Streamlit
    
    Introduction
    
    Standalone
  - Nicegui
    
    Nicegui
- Apps
  Apps
  - Plugins
  - Mermaidjs update
- Blender
  Blender
- Causal Discovery
  Causal Discovery
  - GCastle
    
    GCastle
    
    Introduction
- Data Visualization
  Data Visualization
  - Matplotlib
    
    Matplotlib
    
    01
  - Networks
    Networks
    
    Networkx
    
    Networkx
    
    PyVis
    
    PyVis
  - Plotly
    
    Plotly
    
    01
  - Tableau
    
    Tableau
    
    01
- Databases
  Databases
  - DuckDB
    
    DuckDB
- DevOps
  DevOps
  - AWS
    
    AWS
  - Azure
    
    Azure
  - CML
    
    CML
  - Docker
    
    Docker
  - Git
    
    Git
    
    Basics
    
    CI/CD
  - Unit Testing
    
    Unit Testing
- Documentation
  Documentation
  - Latex
    
    Latex
  - Markdown
    
    Markdown
  - Mermaidjs
    
    Mermaidjs
  - Quarto
    
    Quarto
- FEA
  FEA
  - Abaqus
    
    Abaqus
    
    Introduction
    
    Python Scripting
    
    03 IDK
- Google Sheets
  Google Sheets
- IoT
  IoT
  - Arduino
    
    Arduino
    
    Basics
    
    WiFi Connectivity
    
    ArduinoUniqueID Library
    
    ArduinoUniqueID Library
  - RaspberryPi
    
    RaspberryPi
- NLP
  NLP
  - Spacy
    
    Spacy
- PowerPlatform
  PowerPlatform
  - PowerApps
    
    PowerApps
    
    Basics
    
    01 Getting Data
    
    02 Displaying Data
    
    Forms
    
    Patching
    
    Performance
    
    Miscellaneous
  - PowerAutomate
    
    PowerAutomate
    
    01
  - PowerBi
    
    PowerBi
    
    01
  - SharePoint
    
    SharePoint
- Presentation
  Presentation
  - Pandoc
  - Pandoc Beamer
- Programming Languages
  Programming Languages
  - PHP
  - Python
    
    Python
    
    Python
    
    Creating Packages
    
    Concurrency
- PyPSA
  PyPSA
- Video
  Video
  - Manim
    
    Manim
  - OBS Studio
    
    OBS Studio
    
    01
  - Auto editor
    
    Auto editor
  - Ffmpeg
    
    Ffmpeg
- Web Dev
  Web Dev
  - HTML
    
    HTML
  - MERN
    
    MERN
    
    MongoDB
    
    MongoDB
    
    Node
    
    Node
    
    Node Express
    
    Node Express
    
    React
    
    React
    
    Million

Probability¶

Basic formula
Complement
Useful for “at least one” questions
Mutually-exclusive
Independent events

2024-05-14

Comments

Quantitative Comparison