Learn Exam P one topic at a time.

Find your weakest topic in a free 48-minute diagnostic, fix it with a short lesson, then sit full 30-question practice exams.

The only interactive course with a tutor that finds your weak spots and fixes them.

One payment in US dollars. Full refund within 14 days, for any reason.

The three topics of SOA Exam P

30 multiple-choice questions in 3 hours, with five choices each.

General probability

Sets, counting, independence, conditional probability and Bayes' theorem.

23–30% of the exam

Univariate

Binomial, Poisson, exponential, gamma and normal models, moments, and payments with deductibles and limits.

44–50% of the exam

Multivariate

Joint and conditional distributions, covariance, sums, the central limit theorem and order statistics.

23–30% of the exam

Start with a free 48-minute diagnostic

8 questions across every topic, no account. You get your score by topic and a short lesson on the one to fix first.

Take the free diagnostic

Try one question from each topic

Question 1

An insurer classifies its drivers as standard (60%), preferred (30%) or high risk (10%). The probability that a driver has an accident during the year is 0.05 for standard, 0.02 for preferred and 0.15 for high risk. A randomly chosen driver has an accident during the year.

Calculate the probability that the driver is high risk.

Question 2

The loss from a theft is exponential with mean $1,000. The policy has a deductible of $250.

Calculate the expected payment by the insurer per loss.

Question 3

An insurer has a portfolio of claims. Each of 100 independent claims has mean 250 and standard deviation 80 dollars.

Using the normal approximation, calculate the probability that the total of the 100 claims exceeds 26,000.

In the course

  • 11 interactive lessons
  • 138 practice questions, every answer worked
  • 2 full 30-question practice exams

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Sitting Exam FM too?

SOA Exam FM (Financial Mathematics) has its own free diagnostic, lessons and practice exams.

See Exam FM practice

Probability Genius Pro

US$99one payment

  • 11 interactive lessons
  • 138 practice questions
  • 2 full 30-question practice exams

Full refund within 14 days. Ask within 14 days of paying, for any reason. Our refund promise still applies after you start the course. The note under the pay button is about the separate legal right to cancel. Terms

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