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Reverse Engineering Simulation


Bristol

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After being frustrated with not getting a new schematic after 15 reverse engineering attempts, I decided to write a program to simulate the 20% chance of learning a new schematic using reverse engineering.

 

The following data assumes that you successfully learned 100,000 new schematics. In order to achieve this, the simulation had to reverse engineer 512,634 items. Which, when you look at the numbers, is really close to 1/5 or 20%.

 

I found it interesting that the highest occurance of successful reverse engineering attempts was with only 1 attempt. 18,016 Schematics were disovered on the very 1st attempt. So, to extrapolate on that, for every 5.54939 schematics that you learn, you should have learned one of them on the very first attempt.

 

On the down side however, in order to learn 1 of the 100,000 scematics, the simulation had to reverse engineer 54 times. So I don't feel so bad about the 15 attempts anymore.

 

If I could figure out how, or if we can add pictures, I'd post the distribution plot.

 

18,016 (18.02%) - RE 1x

16,046 (16.05%) - RE 2x

13,453 (13.45%) - RE 3x

10,044 (10.04%) - RE 4x

8,617 (8.62%) - RE 5x

6,739 (6.74%) - RE 6x

5,433 (5.43%) - RE 7x

4,255 (4.26%) - RE 8x

3,533 (3.53%) - RE 9x

2,745 (2.75%) - RE 10x

2,230 (2.23%) - RE 11x

1,766 (1.77%) - RE 12x

1,398 (1.40%) - RE 13x

1,158 (1.16%) - RE 14x

897 (0.90%) - RE 15x

...

2 (0.0020%) - RE 45x

...

1 (0.0010%) - RE 54x

 

Extrapolations:

  • If you make 1 Items to Reverse Engineer, there is a 18.02% chance that you should get a new Schematic.
  • If you make 2 Items to Reverse Engineer, there is a 34.04% chance that you should get a new Schematic.
  • If you make 3 Items to Reverse Engineer, there is a 47.52% chance that you should get a new Schematic.
  • If you make 4 Items to Reverse Engineer, there is a 57.56% chance that you should get a new Schematic.
  • If you make 5 Items to Reverse Engineer, there is a 66.18% chance that you should get a new Schematic.
  • If you make 10 Items to Reverse Engineer, there is a 88.88% chance that you should get a new Schematic.
  • If you make 15 Items to Reverse Engineer, there is a 96.33% chance that you should get a new Schematic.
  • If you make 20 Items to Reverse Engineer, there is a 98.77% chance that you should get a new Schematic.
  • If you make 25 Items to Reverse Engineer, there is a 99.61% chance that you should get a new Schematic.
  • If you make 30 Items to Reverse Engineer, there is a 99.87% chance that you should get a new Schematic.

Edited by Bristol
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Extrapolations:

  • If you make 1 Items to Reverse Engineer, there is a 18.02% chance that you should get a new Schematic.
  • If you make 2 Items to Reverse Engineer, there is a 34.04% chance that you should get a new Schematic.
  • If you make 3 Items to Reverse Engineer, there is a 47.52% chance that you should get a new Schematic.
  • If you make 4 Items to Reverse Engineer, there is a 57.56% chance that you should get a new Schematic.
  • If you make 5 Items to Reverse Engineer, there is a 66.18% chance that you should get a new Schematic.
  • If you make 10 Items to Reverse Engineer, there is a 88.88% chance that you should get a new Schematic.
  • If you make 15 Items to Reverse Engineer, there is a 96.33% chance that you should get a new Schematic.
  • If you make 20 Items to Reverse Engineer, there is a 98.77% chance that you should get a new Schematic.
  • If you make 25 Items to Reverse Engineer, there is a 99.61% chance that you should get a new Schematic.
  • If you make 30 Items to Reverse Engineer, there is a 99.87% chance that you should get a new Schematic.

 

Maths (rounding to nearest %, until in the 90's):

1 item should be 20% or 1-(0.8^1) * 100

2 items should be 36% or 1-(0.8^2) * 100

3 items should be 49% or 1-(0.8^3) * 100

4 items should be 59% or 1-(0.8^4) * 100

5 items should be 66% or 1-(0.8^5) * 100

10 items should be 89% or 1-(0.8^10) * 100

15 items should be 96.48% or (1-0.8^15) * 100

20 items should be 98.85% or 1-(0.8^20) * 100

25 items should be 99.62% or 1-(0.8^25) * 100

30 itesm should be 99.88% or 1-(0.8^30) * 100

 

So, uhm, yeah. You experimentally demonstrated probability math is acccurate.

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