# Probability - Learning Notes (Tutorial)

# Study Notes

- Probability - What it is?
- Deterministic and Random Experiment
- Trial, Experiment, Event, Result/Outcome
- Compound, Complex, Composite, Elementary, Simple, Events
- Mutually-Exclusive/Incompatible & Non-Mutually-Exclusive/Compatible Events
- Equally Likely, Exhaustive, Not-Exhaustive Events
- Favorable/Unfavourable/Total-Possible Choices/Cases in an experiment
- Mathematical Classical A Priori Definition of Probability
- Odds in Favour/Favor and Odds against an Event
- Fundamental Counting Principle (Theorem) of Multiplication
- Fundamental Counting Principle (Theorem) of Addition
- Set theoretical Concepts relevant to Probability
- Modern Definition of Probability. Set Theoretic Approach
- Addition Theorem of Probability. Occurrence of Atleast, Atmost, Intersection/Union of two or more events.

# Problem Solving Concepts

- Choosing One/Single Coin Dice/Die Card Number Ticket Ball Member Student
- Arranging Letters of a Word (all letters different)
- Arranging Letters of a Word (all letters not different)
- Tossing/Throwing/Flipping Multiple coins
- Selecting (Drawing,Picking,Choosing) Multiple items (balls,cards,numbers,articles)

# Problems Solutions

## Classical/Mathematical Definition

- Basic Concepts
- Tossing a Coin
- Throwing Single/One Dice
Drawing/Choosing a Single/One

Arranging the Letters of a Word

Tossing/Throwing

- Two/Three Coins
- Four/Five/Six ... More Coins

Rolling/Throwing/Tossing

- Two/Three/More Die/Dice

Drawing/Picking/Selecting/Choosing Two/Three/More