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5 courses
86 practices
11 hours
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.
You'll refresh core probability skills—computing single-event probabilities, using the complement rule, and counting outcomes in multi-step situations—so you're fully prepared for compound probability.
You'll learn to handle "or" probabilities—first for events that can't overlap, then for events that can—choosing the correct addition rule each time, and recognizing situations where "or" in everyday language doesn't translate to adding probabilities.
You'll learn how to tell whether one event affects another's probability, then apply the correct multiplication rule—for independent or dependent events—to calculate combined probabilities.
You'll learn to systematically map every possible outcome path, calculate the probability of specific sequences, and determine the total likelihood of results in complex real-world scenarios.
You’ll synthesize your skills to tackle complex, real-world applications of probability. From modeling multi-step chance events and detecting bias in games to making informed financial decisions using risk assessment, this course bridges theory and practice. You will also explore geometric probability by seeing how random simulations can be used to estimate mathematical constants like Pi.
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