103 verified problems
Conditional Probability
Conditioning, total probability, and Bayes calculations organized around the denominator that defines the updated sample space.
Exam P study index
Probability techniques, formulas, and verified practice
8 focused guides connect recognition, formulas, failure modes, and verification-gated worked solutions.
How to use this index
Move from recognition to execution
Distribution names and probability identities recur across syllabus sections. These technique collections bring together questions that use the same decisive method even when their official syllabus labels differ.
Use a collection after learning the underlying topic: read the recognition rules, reproduce the core formulas from memory, then solve references in number order without looking at the worked steps until your setup is complete.
Curated collections
Choose the technique you need to drill
Every collection contains original orientation, formula checks, and only problems whose public records have passed the verification gate.
83 verified problems
Exponential Distribution
Waiting-time probabilities, parameter conversions, memorylessness, moments, and insurance-payment applications.
71 verified problems
Poisson Distribution
Count probabilities, rate scaling, aggregation, thinning, and links between Poisson counts and waiting times.
62 verified problems
Normal Distribution
Standardization, inverse percentiles, linear combinations, normal approximations, and tail control.
57 verified problems
Variance
Second moments, transformations, sums, covariance terms, and conditional variance decompositions.
55 verified problems
Independence
Event independence, factorization, independent trials, and the consequences independence does—and does not—justify.
50 verified problems
Uniform Distribution
Continuous and discrete uniform models, interval geometry, transformations, order statistics, and moments.
46 verified problems
Expected Value
Discrete sums, continuous integrals, functions of loss, linearity, conditioning, and tail-based expectation.
Keep the full set together
Study the method, then work the complete reference set
The free collections are designed for focused review. The complete Exam P manual keeps every active reference solution, distractor analysis, and original worked variant in one searchable PDF.