Exam P
SOA Exam P — Probability
SOA Exam P tests mathematical probability and its applications to risk management. Topics include general probability, univariate distributions, multivariate distributions, and risk management tools. It is typically the first exam taken by actuarial students.
Study Materials in C3RT
Exam P Exam Overview
| Detail | Information |
|---|---|
| Full Name | SOA Exam P — Probability |
| Governing Body | Society of Actuaries (SOA) |
| Number of Questions | 30 |
| Time Limit | 3 hours |
| Passing Score | 60% (scaled) |
| Exam Fee | $250 |
| Category | Finance & Accounting |
| C3RT App Available On | iPhone, iPad, and Mac |
| Official Source | Society of Actuaries (SOA) official website ↗ |
Exam P Content Areas and Domains
| Domain / Content Area | Exam Weight |
|---|---|
| General Probability | 10–17% |
| Univariate Random Variables | 27–33% |
| Multivariate Random Variables | 26–32% |
| Common Distributions | 7–13% |
| Risk Management Concepts | 9–18% |
Domain weights are approximate and based on the Society of Actuaries (SOA) content outline. Always verify at the official source before your exam.
Topics Covered
- ✓ General probability
- ✓ Univariate random variables
- ✓ Multivariate random variables
- ✓ Loss models
- ✓ Risk management
How C3RT Helps You Pass the Exam P
Adaptive Practice
Questions adapt to your weak areas automatically so every study session on the Exam P is time well spent.
Diagnostic Mocks
Full-length mock exams timed to the real Exam P format with detailed score breakdowns by topic.
Mistake Bank
Every wrong answer is saved for targeted re-drill. The system resurfaces your mistakes until they stick.
Native on iOS & Mac
Built with SwiftUI, not a web wrapper. Instant load, offline support, hardware-speed rendering.
Sample Exam P Practice Questions
Q1.A box contains 10 red balls and 5 blue balls. If 3 balls are drawn at random without replacement, what is the probability that all three balls are red?
- 0.4
- 0.25Correct
- 0.2
- 0.15
- 0.1
Total ways to choose 3 balls from 15 = C(15,3) = 455. Ways to choose 3 red balls from 10 = C(10,3) = 120. Probability = 120/455 ≈ 0.2637 ≈ 0.25.
Q2.In a game, a player rolls a fair six-sided die. What is the probability that the player rolls a number greater than 4?
- 1/6
- 1/3Correct
- 1/2
- 1/4
- 2/3
The favorable outcomes greater than 4 are {5, 6}. Total outcomes = 6. Probability = 2/6 = 1/3.
Q3.A jar contains 8 green marbles and 12 yellow marbles. If one marble is drawn at random, what is the probability that it is yellow?
- 0.4
- 0.6Correct
- 0.67
- 0.5
- 0.75
Total marbles = 8 + 12 = 20. Probability of drawing a yellow marble = 12/20 = 0.6.
Exam P Frequently Asked Questions
What does Exam P stand for?
Exam P stands for SOA Exam P — Probability. It is administered by Society of Actuaries (SOA).
Who administers the Exam P?
The SOA Exam P — Probability (Exam P) is administered by Society of Actuaries (SOA). For official information, visit the Society of Actuaries (SOA) website.
How many questions is the Exam P?
The Exam P consists of 30 questions. Candidates are given 3 hours to complete the exam.
How many practice questions does C3RT have for the Exam P?
The C3RT app includes 3,603 practice questions for the Exam P, along with 177 flashcards, and 35 concept cards.
What is the passing score for the Exam P?
The passing score for the Exam P is 60% (scaled), as set by Society of Actuaries (SOA). Scoring methodology and passing standards may be updated periodically. Always verify current requirements with the governing body.
How much does the Exam P exam cost?
The Exam P exam fee is $250. This fee is set by Society of Actuaries (SOA) and may vary by testing centre, region, or membership status. Additional fees for registration or rescheduling may apply.
What math background do I need for Exam P?
Single-variable calculus, multi-variable calculus, and basic algebra are required. You should be comfortable with integration by parts, Jacobian transformations, and moment generating functions.
How many times can I take Exam P?
There is no limit on attempts, but you must wait 6 months between attempts after your third failure. The exam is offered in a CBT window, currently open year-round at Prometric.
How hard is SOA Exam P?
SOA Exam P (Probability) is the first exam in the preliminary actuarial sequence and is considered difficult for candidates without a strong mathematics background. Pass rates have historically ranged from 50–65%. The exam requires fluency in probability distributions, random variables, and risk models — applied under strict time pressure.
What background do I need before taking Exam P?
Exam P assumes strong proficiency in single-variable and multi-variable calculus, mathematical statistics, and probability theory at the level of an upper-division university course. Most candidates sit for Exam P after completing at least one course in probability theory at the university level.
How long should I study for SOA Exam P?
Most candidates study for 100–300 hours depending on their mathematical background. Those with a recent probability course background may need 100–150 hours, while those who studied probability earlier or have weaker calculus skills may need considerably more. Practice problem sets — especially from ACTEX, ASM, or the SOA's own sample questions — are the most effective preparation method.
What does passing Exam P do for my actuarial career?
Exam P is the first step toward ASA (Associate of the Society of Actuaries) and FSA (Fellow) status. Even with just Exam P passed, candidates become significantly more competitive for actuarial analyst positions and internships. Most entry-level actuarial roles expect at least one exam passed before hire.
What is the Exam P retake policy?
Exam P can be retaken after a waiting period; the SOA offers the exam via computer-based testing at Prometric centers throughout the year with scheduled testing windows. Candidates may take the exam multiple times, and there is no limit on total attempts. However, each sitting requires a new registration and fee.
Does Exam P expire?
Exam P credit does not expire in terms of your exam record with the SOA. However, some employers set informal recency thresholds. The key consideration is that the preliminary exams (P, FM, etc.) are prerequisites for later exams in the ASA pathway, and candidates typically want to make steady progress through the sequence.
How does Exam P compare to SOA Exam FM?
Exam P tests probability and mathematical statistics. Exam FM (Financial Mathematics) tests time value of money, interest theory, and derivatives pricing. Both are preliminary exams, but they test entirely different mathematical domains. Many candidates find FM slightly more approachable if they have a finance background, while P is more accessible to those with a strong statistics background.
How is SOA Exam P scored?
Exam P is scored on a pass/fail basis. The SOA does not publish a specific passing score, but the exam uses criterion-referenced scoring. Candidates receive a pass or fail result along with a diagnostic indicating performance in the exam's topic areas.
C3RT is a native iOS and macOS exam preparation platform covering the SOA Exam P — Probability (Exam P), a Finance & Accounting certification, administered by Society of Actuaries (SOA). C3RT is not affiliated with or endorsed by Society of Actuaries (SOA). Certification names and trademarks are the property of their respective organisations. For official exam registration, eligibility requirements, and content outlines, visit the Society of Actuaries (SOA) official website ↗ .