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RiskDojo

A rare disaster you can’t afford, swapped for a small cost you can. That trade is all insurance is — and it’s just maths.

🔮 Open the risk console →

How a shared cost beats a rare disaster

You probably won’t crash your bike, flood your flat, or break a leg this year. But you MIGHT — and if you did, the bill could be one you can’t pay. Insurance turns that rare, unaffordable loss into a small, predictable one you pay every year. It works because of one honest fact: across thousands of people, the total number of losses is almost perfectly predictable, even though no single person’s is. RiskDojo builds the whole idea from expected value up — small enough to check by hand, real enough to break.

  1. Expected loss. Value × chance — the honest price of a risk before anyone adds a margin.
  2. Fair premium. Hand that expected loss to an insurer; a small loading pays its costs.
  3. Deductible. Keep the small, survivable part of the risk yourself and pay less.
  4. Pool & adverse selection. Many fair premiums break even — unless only the high-risk buy in.

Everything runs on your device with exact arithmetic — no library, no network, nothing saved.

The pieces of a policy

  • Expected loss — value × chance. The long-run average cost of a risk, and the floor under every premium.
  • The premium — the fair (pure) premium plus a loading. It’s usually a bit MORE than your expected loss — you’re buying certainty, not a good bet.
  • The deductible — the first slice of a loss you cover yourself. A higher deductible means a lower premium.
  • The pool — everyone’s premiums together. It breaks even when priced fairly, and bleeds under adverse selection (only the high-risk buy).

A text-forward console (ages 15–18) — no cast art here by design.