1.1 Risk, Hazards, Perils, and the Law of Large Numbers

Why Risk Is the Starting Point

Every line on the Life and Health exam traces back to one idea: risk. Risk is the uncertainty about whether a financial loss will occur. Insurance exists to move that uncertainty off an individual and onto a pool. Before you can price, underwrite, or sell a policy, you must be able to classify the risk in front of you.

The exam tests whether you can label a fact pattern correctly. A question rarely says "define risk." Instead it describes a person, an activity, or a claim, and asks you to identify the risk type, the peril, or the hazard at work.

Pure Risk vs. Speculative Risk

The single most tested distinction here is pure risk versus speculative risk.

Pure risk offers no chance of gain. You either suffer the loss or you do not. Because there is no upside, insurers are willing to cover it. Speculative risk carries a chance of profit, which is why insurers refuse it; covering a gain-or-loss bet would be gambling, not insurance.

Exam rule: if a question asks which risk is insurable, the answer is always pure risk.

Perils: The Cause of Loss

A peril is the direct, immediate cause of a loss. It is the event that actually produces harm. In Life and Health, the dominant perils are:

• Death (insured by life insurance)
• Sickness or disease (insured by health insurance)
• Accidental injury (insured by accident and disability coverage)

When you buy a policy, you buy protection against named perils. A term life policy answers the peril of death; a disability income policy answers the perils of sickness and injury that stop a paycheck.

Hazards: Conditions That Magnify Risk

A hazard is any condition that increases the likelihood or severity of a loss. A hazard is not the cause of loss; it makes the peril more probable or more expensive. The exam splits hazards into three named types.

Memory hook: moral = morality, a deliberate wrong; morale = attitude, plain carelessness. Examiners routinely swap these two answer choices to trap you.

The Law of Large Numbers

The Law of Large Numbers is the mathematical principle that makes insurance possible. It states that as the number of similar, independent exposure units increases, the actual results move closer to the expected (predicted) results. A coin flipped 10 times may land heads 7 times; flipped 1,000,000 times it lands near 50 percent. Insurers exploit this convergence.

Worked Example

Suppose a life insurer covers 100,000 people, each age 40, and a mortality table predicts 2 deaths per 1,000 this year.

• Expected deaths = 100,000 x (2 / 1,000) = 200 deaths.
• If each policy carries a $250,000 death benefit, expected claims = 200 x $250,000 = $50,000,000.
• Spread across 100,000 policyholders, the pure premium for mortality is $50,000,000 / 100,000 = $500 per policy (before expenses, reserves, and profit loading).

With only 100 insureds the insurer could not trust the 200-per-100,000 rate; with 100,000 insureds the prediction is dependable. This is exactly why insurers seek large blocks of similar risks and classify applicants into rate classes.

Requirements of an Insurable Risk

Not every pure risk can be insured commercially. To be insurable, a risk should meet these tests:

• Due to chance - the loss must be accidental, outside the insured's control. Intentional acts are not covered.
• Definite and measurable - identifiable as to time, place, and dollar amount so a claim can be verified.
• Statistically predictable - enough similar exposures must exist for the Law of Large Numbers to work.
• Not catastrophic - one event should not bankrupt the pool by striking too many insureds at once.
• Economically feasible - the premium must be small relative to the potential loss.

If you can recite these five tests, you can answer the common "which is NOT a requirement of an insurable risk" question, where the wrong answer is usually "the loss must produce a profit for the insurer."

Methods of handling risk

The exam expects you to classify the four ways an individual or insurer deals with pure risk, often summarized as STOP/STARR:

• Sharing — spreading risk among a group (the basis of insurance and partnerships).
• Transfer — shifting risk to another party, most commonly by buying insurance.
• Avoidance — eliminating the activity that creates the risk entirely.
• Reduction — lowering the chance or severity of loss (smoke detectors, wellness programs).
• Retention — accepting the risk and self-funding losses (deductibles are partial retention).

Insurance is fundamentally a transfer mechanism combined with sharing across the pool.

Adverse selection and the role of underwriting

Left unmanaged, those most likely to suffer a loss seek insurance most aggressively — adverse selection. Underwriting, medical questions, and rate classification exist to keep the insured pool balanced so that the law of large numbers continues to produce predictable, fundable loss experience. A risk that cannot be priced because the pool is skewed becomes uninsurable.