The calculation regarding the ideal number of name servers to list needs some empirical data regarding the likelihood of provider and server outages and the client reactions to it, right? Because otherwise 2 would must be the best number, if I'm not mistaken (Chance of hitting the provider that's offline is always 0.5 on the first try, but the second try would be guaranteed to hit the other). Here's the math for expe…
You are correct in saying that more empirical data could be used here. We might even end up changing our minds. I'm not much of a numbers person but I might pass this onto some of the people in our company who love solving problems like this.