Thursday, November 20, 2008

Pointless Math

So as I was constantly resetting my DS in hopes of finding a Dragonite with really good IVs, I began wondering. What are the odds of getting 2 perfect IVs, or 3, or more...? I decided to see if I remembered anything from Statistics class and came up with the following numbers. This is assuming pure random distribution, so it applies to pokemon in the wild, or mystery gifts, but not ones hatched from eggs. I think I did this right, but I'm open to corrections. (numbers listed 3 times in a row are repeating)

Odds of AT LEAST 1 perfect IV: 18.75% or 1:5.333
Odds of AT LEAST 2 perfect IVs: 1.46% or 1:68.2666
Odds of AT LEAST 3 perfect IVs: 0.061% or 1:1,638.4
Odds of AT LEAST 4 perfect IVs: 0.0014% or 1:69,905.0666
Odds of AT LEAST 5 perfect IVs: 0.000018% or 1:5,592,405.333
Odds of ALL perfect IVs: 0.000000093% or 1:1,073,741,824

So yeah, you have less than a one in a billion chance of finding one with perfect IVs.

2 comments:

Mike TV said...

At least you can take comfort in the fact that the odds of getting all perfect IV's are exactly the same as getting any other random assortment of IV's.

Ranger_Steve said...

That's very interesting. Disheartening, but interesting.