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Probability
Board > > (
Total Videos:
)
All Chapters
Chapter 1: Presentation of Data
Chapter 2: Measures of Central tendency or Averages
Chapter 3: Measures of Dispersion, Moments and Skewness
Chapter 4: Index Numbers
Chapter 5: Probability
Chapter 6: Random Variables
Chapter 7: Discrete Probability Distributions
Chapter 8: Continuous Probability Distributions
Chapter 9: Method of Least Squares and Curve Fitting
Chapter 10: Simple Regression and Correlation
Chapter 11: Multiple Regression and Correlation
Chapter 12: Analysis of Time Series
Chapter 13: Sampling and Sampling Distribution
Chapter 14: Statistical Inference:Estimation
Chapter 15: Statistical Inference:Hypothesis Testing
Chapter 16: The Student's t Distribution
Chapter 17: The Chi-Square Distribution
Chapter 18: The F Distribution
Chapter 19: Analysis of Variance(ANOVA)
Chapter 20: Experimental Designs
Chapter 21: Statistical Inference in Regression and Correlation
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Chapter 5: Probability (
64 videos
)
  (
Practice Test
)
5.1: Set Theory
Sets
Types of Set
Subsets
Basic Operations of Sets
Venn Diagram
5.2: Algebra of Sets
Commutative Law of Sets
Associative Laws
Idempotent Laws of Sets
Identity Laws of Sets
Commplementation Law
Law of Double Complementation
Law of Empty Set and Universal Set
Distributive Laws
5.3: Counting Techniques  (
Practice Test
)
A Basic Counting Procedure
Introducing Factorials
Problem- Introducing Factorials
Introducing Permutations
Problem- Introducing Permutations (Distinct Objects)
Permutations When the Objects are Not Distinct
Introduction to Combinations
Problem1-Introducing Combinations
5.4: Basic Probability  (
Practice Test
)
Introducing Probability
Random Experiment
Sample Space
Basic Terminologies used in Probability
Types of Events
Probability for Multiple Event
Problem - Probability for Multiple Event
Mutually Vs Non-Mutually Exclusive Events
Problem - Mutually Vs Non-Mutually Exclusive Events
Equally Likely Vs Exhaustive Events
Conditional Probability
Properties of Probabilities
5.5: Addition Law for Probability  (
Practice Test
)
Addition Law of Probability
More on Applications of Addition of Probabilities
Addition Laws of Probability
Problem-Addition Laws of Probability
Addition of Probabilities of Overlapping Events by Venn Diagram
Problem-Addition of Probabilities of Overlapping Eventsby Venn Diagram
Addition of Probabilities of Disjoint Events by Venn Diagram
Addition of Probabilities of Subset Events
5.6: Multiplication Law for Probability  (
Practice Test
)
Multiplication Law of Probability
Application of Multiplication Laws of Probabalities
More on Application of Multiplication Laws of Probabalities
Multiplication of Probabilities of Dependent Events
Problem- Multiplication of Proababilities of Dependent Events
Multiplication of Proababilities of Independent Events
Problem-Multiplication of Proababilities of Independent Events
Intuition Behind Multiplication of Probabilities
Problem-Intuition Behind Multiplication of Probabilities
Problem - Probability of Repeated Independent Events
5.7: Conditional Probability  (
Practice Test
)
Conditional Probability
Application of Conditional Probability
Conditional Probability By Sample and Reduced Sample Space Approach
Prob-Conditional Probability By Sample and Reduced Sample Space Appro
Dependent Vs Independent Events
Independence of Two Events
Problem - Independence of Two Events
Independence of Several Events
Independence and Conditional Probability
5.8: Bayes Theorem  (
Practice Test
)
Bayes Theorem
Problem - Bayes Theorem
Bayes Theorem and the Law of Total Probability for Random Variables
Prior and Posterior Probabilities
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