let’s say I have a widget that costs 100$ and I can afford to put aside 1$ a year for it. That means that only after 100 years of saving I would be able to handle a catastrophe.
Now let’s say that I have a group of 20 friends, and we’re somehow guaranteed by an all-knowing oracle that only one of our widgets is ever going to break. We can each put aside 1$ a year and we’ll have the emergency fund “ready” in 5 years.
Insurance companies deal with such large numbers that they’re basically “guaranteed” everything will work out according to probability:
If a widget has a 5% chance of breaking, then our group of 20 friends can assume only 1 will break, but it’s not guaranteed (we could have 2, or even 3 break). If an insurance company works with 20,000 “friends” (customers), then it could be that more than 1,000 will break, but it’ll never be *drastically* more…
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