What principle does the law of large numbers illustrate?

• A. The need for individual assessments of every policy
• B. The accuracy of actuarial predictions increases with more insureds
• C. The irregularity of insurance claims occurrences
• D. The necessity of constant policy reviews

Answer: (B)

The law of large numbers illustrates that as the number of exposures or insureds increases, the accuracy of actuarial predictions regarding losses becomes more reliable. This principle is fundamental to insurance as it underpins the concept that while the outcomes for individual risks can be unpredictable, the collective risk associated with a larger group can be predicted with greater certainty.

In practical terms, insurers rely on statistical analysis based on extensive data from a large number of similar risks to set premiums and reserve funds for potential claims. This helps ensure that they can adequately cover losses while remaining financially stable. As a larger pool of insured individuals is included, the variability of loss experiences diminishes, allowing for more accurate predictions of total losses within that group. Thus, option B emphasizes this essential truth of risk management and insurance underwriting processes.