Probability and Combinatorics

FREE online course - Learn basics in probability and combinatorics to make good decisions about the occurrence of events

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Learning Outcomes

Having completed this course, students will be able to :

Explain/compute factorials
Distinguish permutation from combination and state definitions
Compute permutations with or without replacement, duplicate objects, and using all or some of the objects
Explain differences between impossible/certain events and their probabilities
Compare sample spaces, tree and Venn diagrams
Compare empirical and theoretical probabilities
Compute mutually exclusive/inclusive event probabilities
Explain Counting/Probability Principles for independent/ dependent events
Differentiate probabilities of more than one event occurring “with replacement” or “without replacement and compute values
Summarize Bernoulli experiments and requirements
Relate Binomial Theorem/Pascal’s Triangle to expand binomials and find a specific term
Explain meaning of and compute conditional probabilities

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