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Questions and Answers
Calculate the percentage of the group that watched none of the three sports during the last year.
Calculate the percentage of the group that watched none of the three sports during the last year.
Calculate the probability that a visit to a PCP's office results in both lab work and referral to a specialist.
Calculate the probability that a visit to a PCP's office results in both lab work and referral to a specialist.
Calculate P[A] given P[ A ∪ B] = 0.9.
Calculate P[A] given P[ A ∪ B] = 0.9.
Calculate the number of blue balls in the second urn.
Calculate the number of blue balls in the second urn.
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Calculate the number of the company’s policyholders who are young, female, and single.
Calculate the number of the company’s policyholders who are young, female, and single.
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Calculate the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease.
Calculate the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease.
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Study Notes
Exam P Overview
- Sample questions for the Probability (P) Exam provided for candidates.
- Questions are representative of content & depth for the exam.
- Distribution of topics in sample questions may not reflect future exam distributions.
Question Updates
- Previous questions irrelevant to the current syllabus removed as of September 2022.
- Questions renumbered without additions during the transition period.
- New questions added:
- 271-287: July 2022
- 288-319: August 2022
- 320-446: November 2023
- 447-485: March 2024
- Duplicate questions removed as of February 2024.
Sample Probability Questions
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Viewing habits survey reveals sports viewing percentages:
- 28% gymnastics
- 29% baseball
- 19% soccer
- Overlapping viewership among sports is included for complex calculations.
-
Medical visit probabilities introduce multi-event scenarios, needing calculation of both:
- Lab work
- Referral to specialist
- Total examination leads to calculating combined outcomes.
-
Urn problem with colored balls illustrates calculating probabilities from different colored selections:
- First urn has known counts; second urn requires solving for an unknown variable.
Policyholder Demographics
- Insurance company profile of 10,000 policyholders includes detailed categorical demographics:
- Young/Old, Male/Female, Married/Single classifications.
- Statistical breakdowns provided for various intersections of demographics to derive specific populations (e.g., young, female, and single).
Health Study Analysis
- Public health researcher’s investigation into heart disease mortality offers insights on population data:
- 937 men recorded, with 210 heart disease-related deaths.
- Analyzes children of parents with heart disease and their mortality outcomes to determine conditional probabilities.
Key Calculations Emphasis
- Candidates are advised to choose the best answer from multiple choices based on calculated probabilities.
- Understanding intersections and unions of events in probability is critical for tackling exam questions effectively.
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Description
Prepare for the Society of Actuaries Exam P with this set of sample questions focused on probability. These questions have been updated to align with the syllabus effective from September 2022, ensuring relevance for exam takers. Test your knowledge and improve your skills in actuarial probability.
