Probability Of Obtaining A Complete Set Of Kubrows (Without Imprints)

[Pythadragon]

I'm mainly putting this up for reference, but feel free to discuss.

 

There are 4 different breeds of kubrow. The following is assuming that each kubrow has an equal chance of being born (25%).

 

 

X = (number of Kubrows bred)

Y = (Probability of getting at least one of each breed of kubrow given X kubrow)

 

X          Y

4          0.09

5          0.23

6          0.38

7          0.51

8          0.62

9          0.71

10          0.78

11          0.83

12          0.87

13          0.91

14          0.93

15          0.95

16          0.96

17          0.97

18          0.98

19          0.98

20          0.99

 

Example: If you breed 7 kubrow, you have 51% chance of getting at least 1 of each breed of kubrow.

 

There is currently no way to discard or donate kubrow to free up stasis slots (except by perhaps getting them to -100% DNA integrity. Haven't tried it, haven't seen anyone do it). You start with 2 stasis slots, and each slot costs 10 platinum.

 

The following table also shows the platinum (and credit) investment required to reach the X number of kubrows (by having an appropriate number of stasis slots)

 

Z = Cost of stasis slots (Platinum)

 

X          Y          Z          Credits

4          0.09          20          400,000

5          0.23          30          500,000

6          0.38          40          600,000

7          0.51          50          700,000

8          0.62          60          800,000

9          0.71          70          900,000

10          0.78          80          1,000,000

11          0.83          90          1,100,000

12          0.87          100          1,200,000

13          0.91          110          1,300,000

14          0.93          120          1,400,000

15          0.95          130          1,500,000

16          0.96          140          1,600,000

17          0.97          150          1,700,000

18          0.98          160          1,800,000

19          0.98          170          1,900,000

20          0.99          180          2,000,000

 

As you can see, platinum costs quickly add up.

 

I don't have a full understanding of imprints, but if imprints can increase the odds of obtaining a desired kubrow, it may very well be worth it to invest platinum in imprints rather than more slots (+ the time to farm eggs and credits).

 

Has anyone tested out imprints in this way?

 

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Further reference:

 

Where:

n = number of Kubrow bred

p = Probability of at least 1 of each breed

 

p = 1 - ((4*3^n - 6*2^n + 4)/(4^n))

Edited July 28, 2014 by Pythadragon

[Sedant]

I went 3/4 on different breeds, simply traded for the last.

[Darealslenderman]

Ahh very helpfull for plat traders :D cool post thanks for taking your time on this.

[tocorro]

i did get 3/4 and one from imprints

Edited July 28, 2014 by tocorro

[Muffle]

Or just find a clan with 10 or more people and swap imprints as desired, print for print. 

[(PSN)IIIDevoidIII]

Could you insert the formula you used as well? Just a nitpicky thing, but it usually is a good thing to add with anything math related.

[Pythadragon]

Could you insert the formula you used as well? Just a nitpicky thing, but it usually is a good thing to add with anything math related.

 

Added to the original post.

[Veldridge]

i got 4/4, just got super lucky, but 3 of the 4 have the same tigerstripe pattern :/  different colors though

[Gr33d1]

2/4 with the throw of the dice. 2 Imprinted, the imprinted Kubrows do inherit the breed of the parents. The chance of geting the class/look you want. Even with 2 identical male imprints can make a kubrow. Meaning there is none of that Male + Female = Offspring thing going.

Edited July 28, 2014 by Greedey

[Cleesus]

Got the same breed twice rng is rng