Same thing different words. Your point (it doesn't happen to many so no one needs to worry) is an appeal to infinity, much like how Douglas Adam's used an appeal to infinity for humour purposes to “prove” that the population of the universe is zero (and any people you may meet are just figments of a deranged imagination).

You: “It happens to a small number of people, there are many many more people than that, so it averages out to effectively zero, so no one needs to worry”

Me: “Toe stubbing only happened to a small number of people, there are many many more people than that, so it averages out to effectively zero, so no one needs to be careful about their feet”

HHGTTG: “the volume of the universe is infinite there must be an infinite number of worlds. But not all of them are populated; therefore only a finite number are. Any finite number divided by infinity is zero, therefore the average population of the Universe is zero, so the total population must be zero and any people you may meet are just figments of a deranged imagination”