These are the frequencies at which colors appear for animals in Medved Taiga. For the vanilla balances, see this article.

Eurasian Brown Bear:
22.2%  Red-Brown
22.2%  Cinnamon
22.1%  Light Brown
6.7%   Dark Brown
6.7%   Gray
6.6%   Gold
6.6%   Spirit
6.6%   Blond
0.2%   Melanistic
0.1%   Albino
Mission Exclusive: "Boss"

Eurasian Lynx:
49.7%  Gray
49.6%  Light Brown
0.4%   Piebald
0.2%   Melanistic
0.1%   Albino

Gray Wolf:
74.5%  Gray
24.6%  Dark Gray (rare in vanilla)
0.4%   Red-Brown
0.2%   Melanistic
0.2%   Egg White
0.1%   Albino

Moose:
33.1%  Brown
33.1%  Tan
33.1%  Light Brown (male) / Dark Brown (female)
0.4%   Piebald
0.2%   Melanistic
0.1%   Albino


Reindeer:
49.6%  Light Brown (male) / Tan (female)
49.5%  Dark Brown (male) / Brown (female)
0.4%   Piebald
0.2%   Melanistic
0.2%   Leucistic
0.1%   Albino

Siberian Musk Deer:
49.7%  Gray-Brown
49.6%  Dark Brown (male) / Orange (female)
0.4%   Piebald
0.2%   Melanistic
0.1%   Albino

Western Capercaillie, Male:
99.4%  Dark
0.3%   Leucistic (two variants)
0.2%   Pale

Western Capercaillie, Female:
66.6%  Brown
16.6%  Bright
16.6%  Ochre
0.2%   Leucistic

Wild Boar:
33.1%  Light Brown 1
33.1%  Light Brown 2 (male) / Dark Brown (female)
33.1%  Brown
0.4%   Blackgold
0.2%   Melanistic
0.1%   Albino