Hi guys. Math! Put your favorite math here involving ROTMG!
First, let’s find what the probability is of doing 3000 abysses without a dblade.
(by the way, this article is pointless because it’s all theoretical)
Assuming 1% drop rate of DBlade, 3000 abysses without a dblade is therefore 0.99 ^ 3100.
Calculated out, that’s 8.04606974e-14.
0.0000000000000804606974.
Of course, this only counts solo abysses and assuming that the RNG system basically spins a random number from 1 to 100 when distributing loot, which I actually feel isn’t the case. (I have this flux theory thing, don’t mind me as it’s pointless to theorize endlessly about things we have literally no knowledge over)
Let’s say CDirk drop rate is 1 in 500, using Techmech’s video from ages ago.
That puts it at 0.2%.
Say you’ve done 500 cube gods. The chances you still have not gotten a CDirk are 0.998 ^ 500, or about 36.75%. Wow. To know that 30% of people who’ve done 500 cube gods (assuming all were solo) are theoretically going to get CDirk should prove its rarity.
What about more Cube Gods? (btw cubes are mathz as well geometries kewl heh)
all numbers are approximated btw
1000? 13.50%
2000? 1.8% (Wow! To know that even if I do 2000 cube gods, I could still be that unlucky one in a hundred guy that doesn’t get dirk! :O)
5000? 0.0044% (now we’re getting really low)
Then, how about how many cube gods we need to kill to be theoretically unlucky as the poor soul who grinded 3100 abysses and did not get dblade?
Well, we set up the equation
0.0000000000000804606974 = 0.998 ^ x, where x is the amount of cube gods needed.
Plugging this into the super-strong calculator Wolfram Alpha, the result is…
15,060.4
Wow. That’s a lot of cube gods.
Cube Gods spawn up to 10 Cube Overseers that spawn up to 5 each of the Defenders and Blasters.
Let’s take that number and make it pretty cool by calculating how many cubes would be present as you farmed this CDirk.
15,060 (i’ll shave off the 0.4) * (1 Cube God + 10 Cube Overseers + 50 Cube Defenders + 50 Cube Blasters) makes for a grand total of 1,671,660 cubes.
Now let’s say all these cubes spawned instantly in a realm. Let’s say there are 85 people in a realm and the cubes are split evenly among them. How many cubes does each person have to handle?
1671660 / 85 = 19666.588…
Yeah, about 19,667 cubes each!
At the time of writing, this number is similar to the amount of fame I have. (I have 19, 817 according to RealmEye right now)
- to be extended -