Master probability from fundamentals through compound events, independence, tree diagrams, and real-world decision-making—building the skills to model, calculate, and interpret chance in everyday and professional contexts.
What you'll learn
Calculate single-event and complementary probabilities
Count possible outcomes in multi-step situations
Distinguish between independent and dependent events
Apply addition and multiplication rules to compound events
Map sequences and calculate outcomes with tree diagrams
Analyze fairness, bias, and risk in practical scenarios
Compare options using expected cost to inform decisions
Estimate values through random simulation and geometric probability
Advantages and disadvantages
Advantages
University courses you can audit for free, with lectures, readings and practice quizzes.
A verified certificate from the university if you pay for it.
Self-paced: start any time.
Disadvantages
Graded assignments and the certificate need the paid track.
Audit access can expire a few weeks after the course ends.
Learning is free, but the certificate costs money.
Some parts (graded work, certificate) are paid.
Some points apply to every course of this kind; see how we rank.
Free to audit
Free: Choose "Audit this course" when you enrol: lectures, readings and practice are free.
Paid: Graded assignments and the verified certificate (Certificate $80). Audit access may end after the course closes.
Before you start
Beginner: Computing Probabilities of Compound Events
Beginner: Computing Probabilities of Simple Events
Intermediate: Interpreting Probabilities
Experience working with fractions, decimals, and percentages
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