In randomized game levels like Geometry Dash's Random Processing, the probability of completing the level can be calculated by multiplying the survival probabilities of each portal section, where each portal has 16 possible combinations (8 vehicle portals + 2 size portals), and the total odds of completion are approximately 0.437% (1 in 230 attempts) for regular gameplay or 1.143% (1 in 90 attempts) for skilled players who can bypass difficult portal combinations.
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Deep Dive
What are the odds of beating Random Processing in Geometry Dash?Added:
Do you like gambling?
>> Dude, I love gambling. I love gambling.
>> What about dying over and over again due to bad luck? Well, I have just the level for you, Random Processing. If you don't know what this level is, you're stupid as [ __ ] It's pretty self-explanatory.
It's just Blast Processing, but every portal is randomized. That means if you're unlucky, you get portal combinations that are straight-up impossible to beat. And this level will drive you crazy if you try to beat it because of the stupid [ __ ] spider portal. But boy does it make your neurons fire when you get that one run that gets far. So, what exactly are the odds of being able to complete Random Processing? It could be a lot, it could be a little, who knows? I don't know.
We'll find out.
>> [music] >> Welcome back, class.
It is Dr. Happy Jr. here. As my very handsome assistant just said, today we are going to find out exactly your odds for completing Random Processing on any given attempt. Before we get into the calculations, I would like to preface that we will be taking into account the ability to bypass portals, but only within the capabilities of an average gamer. Some people may be able to alternate spam or find precise timings to sometimes bypass portals with the wave, but we will assume you cannot do that because for one, it is very inconsistent, and two, I cannot do it.
And clearly, I'm the best player >> Oh, and we solved >> Anyways, let's start analyzing. There are eight vehicle portals along with two size portals that you can get at any portal generation, making a total of 16 possibilities for each portal in the level. We can break the level down into sections based on where the portals are and find the odds that each individual part is possible. There are 12 portals in the level, so let's look at the probabilities for each part. Moving forward, I will be using this notation when talking about portals. If no size portal is attached to the vehicle portal, that means both sides of that vehicle work. For the first part, you cannot get cube, so there are only 14 possible combinations. Of these, 10 are possible. So, we have 10 out of 14 odds.
The hardest one is the mini robot because it requires some timings. For the second part, we need to take into account that you can skip this portal in some instances. So, from the previous this part, there are eight out of the 10 combinations that can skip the portal and survive. So, you only need to take the portal two out of 10 times from this selection. There are eight out of the 16 standard portal combinations that can survive. Doing some calculation, this brings the total odds of this part to nine out of 10. The third and fourth portals have no skips, so here are the odds you can survive these parts. For the fifth part, there are skips here, but we need to be careful that they can the next part two. Game modes like big ship and swing cannot pass this dual part. From the previous part, there are five out of the nine combinations that can skip the portal and survive. So, you only need to take the portal four out of nine times from this selection. There are five out of the 16 standard [music] portal combinations that can survive.
This brings the total odds of this part to 25 over 36. I'm not going to bore you with all the portal calculations since they are pretty similar, but I'm going to switch it up a bit at the ninth portal. There are possible skips here, but they are kind of difficult and inconsistent. So, I will have odds for a regular gamer with no skips at these parts and separate odds for the epic gamer that can do the skips. With no skips, 10 of the 16 standard portal combinations can survive, but with feasible skill, mini ship and mini UFO can bypass the portal. In this case, there are two out of the eight previous combinations that can skip the portal and survive. So you only need to take the portal six out of eight times. This brings the odds to 10 over 16 for the regular gamer with no skips and 23 over 32 for the epic gamer skips. The next part have some epic gamer skips that are kind of difficult to pull off as well.
So we again separate the categories.
Here are the odds for the 10th portal and the 11th portal. Finally for the last part, there are no skips so 12 of the 16 standard portal combinations can survive. The ball works because the ground comes up like this. This brings the total odds of being able to complete random processing to 0.437%.
This is roughly equal to one out of 230 attempts. Though for the hard skips, the total odds are 1.143% or roughly one out of 90 attempts. This of course assumes perfect gameplay and you're not dying. Every scientific hypothesis needs an experiment to back it up. So I decided to try and see how long it would take me to beat random processing in one session. And let's just say it was a miserable experience.
Video coming soon. Class dismissed.
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