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Probability
Understand randomness and uncertainty to analyse real-world phenomena.
Topics
Exam‑style questions with instant feedback.
Section 1: Foundations of Probability
Section 2: Conditional Probability and Independence
Section 3: Discrete Random Variables and Distributions
Section 4: Continuous Random Variables and Distributions
Section 5: Expectation, Moments, and Generating Functions
Section 6: Joint Distributions and Dependence
Section 7: Limit Theorems and Convergence
What you’ll achieve
Understand fundamental rules of probability and random variables.
Analyse discrete and continuous probability distributions.
Apply expectation, variance, and probability concepts in real-world contexts.
Use probabilistic models for engineering, finance, and scientific applications.
Develop analytical and problem-solving skills for decision-making under uncertainty.
Course overview
Everything you need to excel in Probability
Probability introduces the mathematical study of chance and uncertainty. Students learn about probability rules, random variables, probability distributions, expectation, variance, and applications in engineering, finance, and science. The course emphasises problem-solving and analytical thinking to interpret data, model uncertainty, and make informed decisions. By integrating theory with practical examples, learners develop the skills to quantify uncertainty, evaluate risks, and apply probabilistic methods to real-world problems across multiple disciplines.
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