Probability

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Chapter 3: Probability (31 videos)   (Practice Test)
3.1: Probability Measures: Axioms and Properties  (Practice Test)
  1. Probability Measure and Equiprobable Measure
  2. Addition of Probabilities and Mutually Exclusive Events
  3. Problem-Addition of Probabilities of Mutually Exclusive Events
  4. Addition of Probabilities of Overlapping Events
  5. Problem-Addition of Probabilities of Overlapping Events
  6. Addition of Probabilities of Disjoint Events
  7. Addition of Probabilities of Subset Events
  8. Problem-Addition of Probabilities of Subset Events
  9. Probability of Complement of an Event
  10. Probability and Odds
  11. Applications to Empirical Probability
3.2: Conditional Probability and Independence  (Practice Test)
  1. Conditional Probability
  2. Multiplication of Probabilities and Independent Events
  3. More on Multiplication of Probabilities and Independent Events
  4. Problem-Multiplication of Probabilities of Independent Events
  5. Multiplication of Probabilities of n Independent Events
  6. Problem-Multiplication of Probabilities of n Independent Events
  7. Application of Conditional Probability
3.3: Stochastic Processes and Trees
  1. Stochastic Process
  2. Problem-Stochastic Process
  3. Problem solving on Stochastic Processes and Trees
3.4: Bayes Probabilities
  1. Bayes Probability for two Events
  2. Bayes Probability for k Events
  3. Solving problems using Bayes' Formula
3.5: Bernoulli Trials
  1. Introduction to Bernoulli Trials
  2. General formula for Bernoulli Trials
  3. Application of General formula for Bernoulli Trials
  4. Word problems on Application of General formula for Bernoulli Trials
  5. Sum of Probability of n Bernoulli Trials is always 1
  6. Problem-Sum of Probability of n Bernoulli Trials is always 1
  7. Finding the number (n) of trials in Bernoulli process