I had a thought about why/how my d bow specs blow (for some reason never bothered to think of it), and i realized that it's equivalent to rolling two dice each with N sides where N is my max hit per arrow

My max on my noob ranger for example is two 26's

so I found out that I have a sad .15 chance to hit my max of 52 (about 1 in 665)

Even more depressing, to hit at least just a 40, it was a 13.4% chance...even a hit of at least 30 was a depressing 40% chance

I then thought that dds would be the same deal, so i decided to calc stats about my main with 99 str and standard melee pking gear

My dds max would be two 41's, the odds of which is .06% or about 1/1665

I then thought about when i was a kid me and andrew used to like fantasize about hitting 4 max specs, like 41-41,41-41,41-41,41-41

So I calculated that to be a 1 in 7,984,925,229,121 chance...1 in 8 trillion

So of course after that I needed to see the odds of 4 max specs with max gear instead (pking because the max hit on slayer would make a 50sided dice, and wolframalpha wasn't happy about that), max gear gives me a max of 44-44

calculated that to be a 1 in 14,048,223,625,216 chance,

a 1 in 14 trillion chance to hit the max pvp quad spec with dds.

Now I just had an idea, suppose you had a chain of friends to constantly give you special attack, and you had an unlimited supply of prayer and str pots for piety etc

You could do a series of 4 specs every 9.6 seconds (I know infinite spec makes the idea of a quad spec trivial, but this is to idealize the situation in which you could constantly try to get that quad max, otherwise you'd have to make the quadspec frequency every 5minutes,9.6seconds)

First nice-looking calculation answer gives me a 51% chance of getting the max quad spec at least ONCE in a series of 10 trillion trials, which would take about 3.04 million years

Let's say you wanted to be on the safe side and you wanted a 99.0% chance of getting that quad max spec, that would only take 65 trillion trials, which would take 19.77 million years

One last ridiculous calculation, let's say that you didn't have guys giving you spec and that you had to wait for it to recharge every 5 minutes, giving a period of 5 mins 9.6s, and you wanted the 99.0% chance of getting at least one quad max.

That would take 65 trillion trials, this time taking 637.7 million years