For example, they might insure a standard insurance company for automobile accidents, with a $1,000,000 deductible. So the retail insurance company handles payouts up to a million dollars, but when there's a really wild claim, the reinsurance company pays the insurance company for anything over a million.
They end up specializing in rare events that involve large payouts, so they also did things like the hole-in-one insurance you mention above, very common with charity gold tournaments.
They had many stories to tell, including the fellow who played a lot of golf and collected three hole-in-one payouts, and another story about a truck that went off a mountain road, slid down and blocked train tracks, causing a train derailment, with a town below the train that needed to be evacuated.