To increase the statistical probability of loss equaling the reported losses of an insured group, the group must become:

To increase the statistical probability of loss equaling the reported losses of an insured group, the group must become larger. This is grounded in the principle of the law of large numbers, which states that as the size of a sample increases, its mean is more likely to be close to the expected value or average.

In the context of insurance, a larger group of insured individuals provides a more extensive pool of data from which underwriters can assess risk accurately. With more participants in the insurance pool, the insurer can better predict the overall losses and manage the variance, meaning that the actual losses will more closely align with the anticipated losses.

A larger group helps smooth out anomalies and extreme events, thus increasing the reliability of statistics used in underwriting and premium calculations. This leads to a more accurate reflection of risk associated with the insured individuals, ultimately ensuring the financial stability of the insurance product.