CHAPTER 1
Probability Fundamentals
Build a language for uncertainty.
PROBABILITY, MADE TANGIBLE
Actuarial Exam P
Build probability intuition, explore simulations, and practice for Exam P.
Official topic groups
November 2026 SOA syllabus ↗23–30%
General Probability
44–50%
Univariate Random Variables
23–30%
Multivariate Random Variables
These ranges describe SOA topic groups, not individual chapters. Learning activities and practice results are not a prediction of your exam score.
Calculus readiness →
Optional diagnostic and refresher
Practice & exams →
Mixed sets and a three-hour exam
Formula reference →
Key formulas linked to lessons
AI & probability →
Study thoughtfully. Explore actuarial implications.
Your learning roadmap
CHAPTER 2
Discrete Distributions
Model counts, outcomes, and waiting times.
2.1Discrete Random Variables
Start →2.2Mathematical Expectation
Start →2.3Variance & Moments
Start →MGF techniques are optional enrichment.
2.4Binomial Distribution
Start →MGF techniques are optional enrichment.
2.5Geometric & Negative Binomial
Start →2.6Poisson Distribution
Start →MGF techniques are optional enrichment.
CHAPTER 3
Continuous Distributions
Connect density, area, and probability.
CHAPTER 4
Multivariate Distributions
Joint tables, conditional distributions, and dependence.
CHAPTER 5
Sums, Order Statistics & CLT
Combine risks and explore samples.
CHAPTER 6
Insurance Applications
Turn losses into policy payments.