Official references · independent solutions

SOA Exam P sample-question solutions: all 718 active references

Browse all 718 active Probability (P) Exam sample references by number or syllabus topic. Every page gives a step-labeled solution, a separate calculation check, wrong-choice analysis, and a fully worked original practice problem. Official question wording remains withheld.

See all 718 worked solutions in one PDF — $49 Free Exam P formula sheet

718 verified and live718 active official references

Exam P study guides

Turn the syllabus and sample set into a working plan

These guides keep official facts separate from editorial study tools and expose the source arithmetic behind the current library.

September 2026 · 16 sessions

Four-week Exam P study plan

Allocate four General, eight Univariate, and four Multivariate sessions while keeping every share inside the official ranges.

736 slots · 18 deleted · 718 active

Active sample-reference ledger

Preserve stable locators and require located, reconstructed, varied, and independently checked practice.

Current official set

How many SOA Exam P sample questions are active?

The official sample set retrieved 2026-07-30 contains 718 active questions numbered 1–736. 18 questions SOA has deleted are excluded. Every remaining question has a worked solution here.

How to use the official sample questions

Keep the official wording in its source document and use this library as the worked-answer layer.

Attempt a reference under time
Open the official sample-question PDF, find the same number, and commit to an answer before reading the solution.
Compare the decisive setup
Check the named model, event or comparison date, parameter convention, and the exact step that selects the answer letter.
Diagnose the wrong choice
Use the distractor notes to identify whether the miss came from modeling, timing, boundaries, units, or arithmetic.
Work the original variant
Prove that the method transfers to new wording and parameters, then return to the topic hub for the next reference.

The Society of Actuaries also provides a free randomized online sample exam for P and FM using its existing sample-question pool.

Technique index

Practice the methods that repeat across Exam P

These curated guides connect formulas, recognition rules, typical errors, and verified solutions that use the same technique across different syllabus settings.

103 verified problems

Conditional Probability

Conditioning, total probability, and Bayes calculations organized around the denominator that defines the updated sample space.

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.

Browse all Exam P technique guides

Syllabus index

Browse by topic

Topic names and weight ranges come from the current official syllabus. Counts below include only pages that cleared the verification gate.

23–30%

Published ledger

All 718 Exam P sample-question solutions

Every entry links back to the official source and exposes the values used by its verification record.