I'd budget 250 to 300 hours of study for Exam P. The SOA doesn't publish a recommended number, and what you'll need depends mostly on your math background, so treat the ranges below as planning scenarios, from about 150 hours to 400.
I put in about 200 hours over 10 weeks, and a strong undergrad math background carried a lot of that. Plenty of people need 350+ hours and pass just fine.
Hours by background
Strong math background: 150 to 200 hours
Math, stats and physics majors who did well in probability already know most of what Exam P tests. The hours go to exam-specific topics like actuarial loss models, to speed under timed conditions, and to 800 to 1,200 practice problems. If you can solve a double integral over a joint density without hesitating, you're in this group. Budget 8 to 10 weeks at 2 to 3 hours a day.
Moderate math background: 250 to 300 hours
Engineering, econ and CS majors usually land here. You've got solid calculus but maybe never a full mathematical statistics course, so you'll relearn probability theory from scratch and get comfortable with continuous distributions, conditional probability and joint distribution setups. Plan on 1,000 to 1,500 practice problems over 12 to 14 weeks at 2.5 to 3.5 hours a day.
Limited probability exposure: 300 to 400 hours
Coming from business, liberal arts or another non-quantitative field is very doable with more time. Plan on 16 to 20 weeks at 2.5 to 3 hours a day.
Reading passively for 300 hours gets worse results than working problems for 200, which I learned the hard way early in my FSA exams. If you can't solve problems without your notes open, you haven't learned the material yet.
A 12-week schedule
This assumes 20 to 25 hours a week, about 3 hours a day, 6 days a week. It's the timeline I steer most candidates toward.
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| Weeks | Hours | Topics |
|---|---|---|
| 1 to 2 | 40 to 50 | Set theory, counting, axioms of probability, conditional probability, Bayes' theorem, independence |
| 3 to 5 | 60 to 75 | Discrete distributions (binomial, Poisson, geometric, negative binomial), continuous distributions (uniform, exponential, normal, gamma, beta), MGFs, transformations |
| 6 to 8 | 60 to 75 | Joint, marginal and conditional distributions, covariance, correlation, order statistics, convolutions |
| 9 to 10 | 40 to 50 | Deductibles, policy limits, loss models, expected claim costs, mixtures |
| 11 to 12 | 40 to 50 | A full practice exam every other day, 30 questions in 3 hours |
In the first two weeks, a good day is 45 minutes reading, 90 minutes working 15 to 20 problems and 45 minutes on the ones you missed, with no pressure on speed yet. During the distribution weeks, write your own reference sheet for each distribution (PDF, CDF, mean, variance, MGF). Multivariate problems are where a lot of candidates plateau, so drill them until your accuracy clears 70%. The insurance topics are probability problems in an insurance setting, and after 15 to 20 examples the patterns click.
Don't save every practice exam for the end, since a bad score 4 weeks out is the most useful data you can get. FreeFellow's timed mocks (part of Fellow) are 30 questions in 3 hours and track your score history.
Benchmarks and knowing when you're ready
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| Milestone | Typical accuracy | Problems completed |
|---|---|---|
| Beginning to understand concepts | 40 to 50% | 200 to 300 |
| Comfortable with most topics | 55 to 65% | 500 to 700 |
| Practice exam ready | 65 to 70% | 800 to 1,000 |
| Passing readiness | 70 to 80% | 1,000 to 1,500 |
You're ready when you consistently score 70%+ on full-length practice exams, finish most problems in 4 to 6 minutes, have no topic below 50%, and can spot the distribution and technique within 30 seconds of reading a problem. FreeFellow's readiness score rolls your accuracy, difficulty mix, topic coverage and recent trend into one 0 to 10 number, and you want a 7 or above before exam day.
If the exam is close and you're not there, pick the 2 to 3 highest-weight topics where you're weakest, switch to pure practice and stop reading new material.
You can start with 1,188 free Exam P practice questions on FreeFellow, each with a full solution. The readiness score is free too, and Fellow adds a study plan and analytics.