An insurance company's policies were used to demonstrate the principle of risk pooling and risk sharing. Based on this example, select the true statement$($s$)$

about risk pooling from those sentences presented below.

As more policies are added to the insurer's pool, each investor's exposure to any single policy shrinks.

The law of averages does work provided the insurance policies are diversified across many sources of rissk.

Risk sharing and risk pooling are two independent strategies for reducing risk.