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Learn how to solve probability and counting problems through this hands-on course with many quizzes and solved problems.

(1) ABOUT THE COURSE: WHAT WE ARE GOING TO LEARN

  • What we are going to learn in Probability and counting techniques
  • Course datafiles
  • Formula sheet for Probability, counting and Discrete Random variables.
  • Concepts of sample space, sample points and events
  • Venn diagrams, Union, Intersection and complement of events
  • Computing basic probabilities and explanation about the deck of 52 cards
  • Probabilty about cards being select and Addition Rule of Probability
  • Conditional probability – Multiplication rules of probability
  • Solved problems: Addition and multiplicative rules of probability
  • Multiplicative rule of probability -Solved problem
  • Fundamental principle of counting
  • Permutation of n elements
  • Permutations with duplicates or repeated elements
  • Combination principles
  • Probability distribution of a discrete Random variable
  • Binomial distribution – Part 1 –
  • Binomial distribution – Part 2 –
  • Binomial distribution – Part 3 –
  • The Multinomial Distribution
  • Hypergeometric Distribution
  • Poisson distribution and relationship with the Binomial
  • The geometric distribution
  • Geometric distribution
  • Negative Binomial Distribution
  • What have we learn in this course?

(2) Course files and course final test to check for mastery

  • What we are going to learn in Probability and counting techniques
  • Course datafiles
  • Formula sheet for Probability, counting and Discrete Random variables.
  • Concepts of sample space, sample points and events
  • Venn diagrams, Union, Intersection and complement of events
  • Computing basic probabilities and explanation about the deck of 52 cards
  • Probabilty about cards being select and Addition Rule of Probability
  • Conditional probability – Multiplication rules of probability
  • Solved problems: Addition and multiplicative rules of probability
  • Multiplicative rule of probability -Solved problem
  • Fundamental principle of counting
  • Permutation of n elements
  • Permutations with duplicates or repeated elements
  • Combination principles
  • Probability distribution of a discrete Random variable
  • Binomial distribution – Part 1 –
  • Binomial distribution – Part 2 –
  • Binomial distribution – Part 3 –
  • The Multinomial Distribution
  • Hypergeometric Distribution
  • Poisson distribution and relationship with the Binomial
  • The geometric distribution
  • Geometric distribution
  • Negative Binomial Distribution
  • What have we learn in this course?

(3) Basic probability concepts, conditional probability and the multiplication rule.

  • What we are going to learn in Probability and counting techniques
  • Course datafiles
  • Formula sheet for Probability, counting and Discrete Random variables.
  • Concepts of sample space, sample points and events
  • Venn diagrams, Union, Intersection and complement of events
  • Computing basic probabilities and explanation about the deck of 52 cards
  • Probabilty about cards being select and Addition Rule of Probability
  • Conditional probability – Multiplication rules of probability
  • Solved problems: Addition and multiplicative rules of probability
  • Multiplicative rule of probability -Solved problem
  • Fundamental principle of counting
  • Permutation of n elements
  • Permutations with duplicates or repeated elements
  • Combination principles
  • Probability distribution of a discrete Random variable
  • Binomial distribution – Part 1 –
  • Binomial distribution – Part 2 –
  • Binomial distribution – Part 3 –
  • The Multinomial Distribution
  • Hypergeometric Distribution
  • Poisson distribution and relationship with the Binomial
  • The geometric distribution
  • Geometric distribution
  • Negative Binomial Distribution
  • What have we learn in this course?

(4) Basic Counting Techniques, Permutations and combinations concepts

  • What we are going to learn in Probability and counting techniques
  • Course datafiles
  • Formula sheet for Probability, counting and Discrete Random variables.
  • Concepts of sample space, sample points and events
  • Venn diagrams, Union, Intersection and complement of events
  • Computing basic probabilities and explanation about the deck of 52 cards
  • Probabilty about cards being select and Addition Rule of Probability
  • Conditional probability – Multiplication rules of probability
  • Solved problems: Addition and multiplicative rules of probability
  • Multiplicative rule of probability -Solved problem
  • Fundamental principle of counting
  • Permutation of n elements
  • Permutations with duplicates or repeated elements
  • Combination principles
  • Probability distribution of a discrete Random variable
  • Binomial distribution – Part 1 –
  • Binomial distribution – Part 2 –
  • Binomial distribution – Part 3 –
  • The Multinomial Distribution
  • Hypergeometric Distribution
  • Poisson distribution and relationship with the Binomial
  • The geometric distribution
  • Geometric distribution
  • Negative Binomial Distribution
  • What have we learn in this course?

(5) Discrete probability distributions.

  • What we are going to learn in Probability and counting techniques
  • Course datafiles
  • Formula sheet for Probability, counting and Discrete Random variables.
  • Concepts of sample space, sample points and events
  • Venn diagrams, Union, Intersection and complement of events
  • Computing basic probabilities and explanation about the deck of 52 cards
  • Probabilty about cards being select and Addition Rule of Probability
  • Conditional probability – Multiplication rules of probability
  • Solved problems: Addition and multiplicative rules of probability
  • Multiplicative rule of probability -Solved problem
  • Fundamental principle of counting
  • Permutation of n elements
  • Permutations with duplicates or repeated elements
  • Combination principles
  • Probability distribution of a discrete Random variable
  • Binomial distribution – Part 1 –
  • Binomial distribution – Part 2 –
  • Binomial distribution – Part 3 –
  • The Multinomial Distribution
  • Hypergeometric Distribution
  • Poisson distribution and relationship with the Binomial
  • The geometric distribution
  • Geometric distribution
  • Negative Binomial Distribution
  • What have we learn in this course?

(6) Conclusion and upcoming course

  • What we are going to learn in Probability and counting techniques
  • Course datafiles
  • Formula sheet for Probability, counting and Discrete Random variables.
  • Concepts of sample space, sample points and events
  • Venn diagrams, Union, Intersection and complement of events
  • Computing basic probabilities and explanation about the deck of 52 cards
  • Probabilty about cards being select and Addition Rule of Probability
  • Conditional probability – Multiplication rules of probability
  • Solved problems: Addition and multiplicative rules of probability
  • Multiplicative rule of probability -Solved problem
  • Fundamental principle of counting
  • Permutation of n elements
  • Permutations with duplicates or repeated elements
  • Combination principles
  • Probability distribution of a discrete Random variable
  • Binomial distribution – Part 1 –
  • Binomial distribution – Part 2 –
  • Binomial distribution – Part 3 –
  • The Multinomial Distribution
  • Hypergeometric Distribution
  • Poisson distribution and relationship with the Binomial
  • The geometric distribution
  • Geometric distribution
  • Negative Binomial Distribution
  • What have we learn in this course?

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