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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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