What you will learn

• Master combinatorial techniques, including permutations, combinations, and multinomial coefficients, to solve counting and probability problems.

• Apply probability axioms, construct Venn diagrams, and calculate sample space sizes to evaluate probabilities in various scenarios.

• Utilize Bayes' formula, the multiplication rule, and conditional probability to assess event relationships and solve real-world problems.

• Analyze discrete and continuous random variables using probability density functions, cumulative distribution functions, and expected values.