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Insurance helps people handle financial risk by sharing the cost of rare but expensive losses across a large group. Instead of one person paying the full cost of a car crash, house fire, hospital visit, or death benefit alone, many people pay smaller amounts called premiums into a shared pool. This matters because most families cannot easily afford a sudden bill of thousands of dollars. A large risk pool makes costs more predictable for everyone.

Key Facts

  • Total premiums collected = number of people × premium per person
  • Average cost per person = total expected claims ÷ number of people
  • Insurance works best when many people share risks that are uncertain for each person but predictable for the group.
  • A premium is the regular payment made to keep an insurance policy active.
  • A deductible is the amount the policyholder pays before insurance starts paying a covered claim.
  • If 1,000 people each pay 50,theriskpoolcollects1,000×50, the risk pool collects 1,000 × 50 = $50,000.

Vocabulary

Insurance
Insurance is an agreement where people pay premiums so a company can help cover certain financial losses.
Risk Pool
A risk pool is a group of people whose premiums are combined to pay claims for members who have covered losses.
Premium
A premium is the amount a person pays, often monthly or yearly, to keep insurance coverage.
Claim
A claim is a request for payment from an insurance company after a covered loss happens.
Deductible
A deductible is the amount a person must pay out of pocket before insurance pays part or all of a covered claim.

Common Mistakes to Avoid

  • Thinking premiums are savings accounts is wrong because your payments go into a shared pool used to pay covered claims for the group.
  • Ignoring the deductible is wrong because a low premium plan can still cost a lot if you must pay a large amount before coverage begins.
  • Assuming insurance covers every loss is wrong because policies list specific covered events, limits, exclusions, and rules.
  • Believing only people who file claims benefit is wrong because insurance also provides protection from possible large losses even if no claim happens.

Practice Questions

  1. 1 A risk pool has 1,000 people. Each person pays a $40 monthly premium. How much money enters the pool in one month?
  2. 2 In one year, a pool collects 120,000inpremiums.Itpays8claimsof120,000 in premiums. It pays 8 claims of 10,000 each and has $15,000 in operating costs. How much money is left in the pool?
  3. 3 Explain why an insurance pool with 10,000 similar people can usually predict total claims better than a pool with only 10 people.