## Probability : Study Notes/Topics |

## Probability : Study Notes/Topics |

01. Probability : Meaning, Synonyms, Antonyms

02. Probability » The Chance of occurrence

03. Occurrence » The three possibilities - For Sure or Always - Never - May or may not

04. 200%, 300%,.... 1000% Chance!!

02. Probability » The Chance of occurrence

03. Occurrence » The three possibilities - For Sure or Always - Never - May or may not

04. 200%, 300%,.... 1000% Chance!!

01. Classification of Experiments

02. Deterministic/Predictable Experiment

03. Probabilistic/Indeterministic/Unpredictable Experiment

04. Random Experiment, At Random

02. Deterministic/Predictable Experiment

03. Probabilistic/Indeterministic/Unpredictable Experiment

04. Random Experiment, At Random

01. What is a Trial?

02. Trial vs. Experiment

03. Event or Outcome

04. An Event is what we define it to be

02. Trial vs. Experiment

03. Event or Outcome

04. An Event is what we define it to be

01. Mutually Exclusive or Incompatible Events

02. To be mutually exclusive - all possible events need not be taken into consideration

03. Non/Not Mutually Exclusive or Compatible Events

04. Pairwise Exclusive Events

02. To be mutually exclusive - all possible events need not be taken into consideration

03. Non/Not Mutually Exclusive or Compatible Events

04. Pairwise Exclusive Events

01. Equally likely events

02. Equally likely & Mutually Exclusive are distinct characteristics

03. Exhaustive Events

04. Non/Not Exhaustive Events

05. If a Single Event is exhaustive, it is a Certain Event

06. Event(s) taken together with exhaustive events will form exhaustive events

07. Exhaustive events may be either mutually exclusive or not mutually exclusive

08. Exhaustive events may be either equally likely or not equally likely

02. Equally likely & Mutually Exclusive are distinct characteristics

03. Exhaustive Events

04. Non/Not Exhaustive Events

05. If a Single Event is exhaustive, it is a Certain Event

06. Event(s) taken together with exhaustive events will form exhaustive events

07. Exhaustive events may be either mutually exclusive or not mutually exclusive

08. Exhaustive events may be either equally likely or not equally likely

01. Possible Choices or Cases or Events or Outcomes

02. Favourable/Favorable cases/choices/events/outcomes or Successes

03. UnFavourable/UnFavorable cases/choices/events/outcomes or Failures

02. Favourable/Favorable cases/choices/events/outcomes or Successes

03. UnFavourable/UnFavorable cases/choices/events/outcomes or Failures

01. Counting Numbers

02. Fundamental Counting Principle of Multiplication

03. Fundamental Counting Principle/Theorem of Multilication : Illustration » 1

04. Fundamental Counting Principle/Theorem of Multilication : Illustration » 2

02. Fundamental Counting Principle of Multiplication

03. Fundamental Counting Principle/Theorem of Multilication : Illustration » 1

04. Fundamental Counting Principle/Theorem of Multilication : Illustration » 2

02. Fundamental Counting Principle of Addition

04. Fundamental Counting Principle/Theorem of Addition : Illustration » 1

04. Fundamental Counting Principle/Theorem of Addition : Illustration » 1

01. A Priori

02. Mathematical/Classical/A-Priori definition of Probability

03. Probability of Non-occurrence of an Event

04. Probability of occurrence + Probability of Non-occurrence = 1

05. Probability (classical/mathematical definition) - Formula Interpretation

02. Mathematical/Classical/A-Priori definition of Probability

03. Probability of Non-occurrence of an Event

04. Probability of occurrence + Probability of Non-occurrence = 1

05. Probability (classical/mathematical definition) - Formula Interpretation

13. Problem Solving : Choosing One/Single Coin Dice/Die, Card, Number, Ticket, Ball, Member, Student

01. Throwing/Tossing/Flipping a single (one) Coin

02. Rolling/Tossing/Throwing a Single (one) Die/Dice

03. Drawing/Picking/Selecting/Choosing a Single (one) card from a Pack of Cards

04. Drawing/Picking/Choosing/Selecting a Single/One entity/item/object from a group

02. Rolling/Tossing/Throwing a Single (one) Die/Dice

03. Drawing/Picking/Selecting/Choosing a Single (one) card from a Pack of Cards

04. Drawing/Picking/Choosing/Selecting a Single/One entity/item/object from a group

01. Permutations/Arrangements

02. What are isograms?

03. Words formed with all/some of the letters of a word (letters are all different)

04. Words formed by fixing one or more letters in specific places

05. Words formed by fixing a set of letters in a set of places

06. Words with two or more letters grouped (stay together)

02. What are isograms?

03. Words formed with all/some of the letters of a word (letters are all different)

04. Words formed by fixing one or more letters in specific places

05. Words formed by fixing a set of letters in a set of places

06. Words with two or more letters grouped (stay together)

01. Permutations/Arrangements with repetitions

02. Words formed by taking all the letters of a word (all letters are not different)

02. Words formed by taking all the letters of a word (all letters are not different)

01. Tossing multiple coins is the same as tossing a coin multiple times

02. Total number of possible choices in tossing coins

03. Throwing/Tossing/Rolling Two/Three coins - Favorable/Favourable choices for events

04. Tossing/Throwing/Rolling four or more coins - Favorable/Favourable choices for events

05. Getting atleast/atmost the specified number of heads/tails in tossing multiple coins

02. Total number of possible choices in tossing coins

03. Throwing/Tossing/Rolling Two/Three coins - Favorable/Favourable choices for events

04. Tossing/Throwing/Rolling four or more coins - Favorable/Favourable choices for events

05. Getting atleast/atmost the specified number of heads/tails in tossing multiple coins

01. What is a Set?

02. Elements of a Set and their order

03. Defining/Describing a set

04. Cardinality of a Set

05. Union of sets

06. Intersection of Sets - Disjoint Sets

07. Complements of Sets : Relative - Absolute

08. Set theory - Distibutive Laws

09. Set Theory - De Morgans Laws

02. Elements of a Set and their order

03. Defining/Describing a set

04. Cardinality of a Set

05. Union of sets

06. Intersection of Sets - Disjoint Sets

07. Complements of Sets : Relative - Absolute

08. Set theory - Distibutive Laws

09. Set Theory - De Morgans Laws

01. Sample Space » Sample Points

02. Limitations of Classiscal/Mathematical/A-priori Definition of Probability

03. Modern Definition of Probability : Axiomatic Approach

04. Modern Definition of Probability : Set Theoretic Approach

05. Probability Axioms » Kolmogorov Axioms

02. Limitations of Classiscal/Mathematical/A-priori Definition of Probability

03. Modern Definition of Probability : Axiomatic Approach

04. Modern Definition of Probability : Set Theoretic Approach

05. Probability Axioms » Kolmogorov Axioms

05. ## Addition Theorem

01. Addition Theorem of Probability - Non Mutually Exclusive (Non Disjoint) Events

02. Addition Theorem of Probability - Mutually Exclusive (Disjoint) Events

03. Addition Theorem of Probability - Exhaustive Events

04. Addition Theorem of Probability - Mutually Exclusive and Exhaustive Events

05. Probability - Relations derived from Set theory

06. Probability of Occurrence of atleast one or more of two or more events

07. Probability of Occurrence of atmost one or more of the two or more events

08. Probability of Occurrence of only one or more of the two or more events

09. Probability of Occurrence of all of the two or more events

10. Probability of Occurrence of none of the two or more events

02. Addition Theorem of Probability - Mutually Exclusive (Disjoint) Events

03. Addition Theorem of Probability - Exhaustive Events

04. Addition Theorem of Probability - Mutually Exclusive and Exhaustive Events

05. Probability - Relations derived from Set theory

06. Probability of Occurrence of atleast one or more of two or more events

07. Probability of Occurrence of atmost one or more of the two or more events

08. Probability of Occurrence of only one or more of the two or more events

09. Probability of Occurrence of all of the two or more events

10. Probability of Occurrence of none of the two or more events

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