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The Bayes theorem (also Bayes' theorem) is an application of probability theory, named after the mathematician Thomas Bayes. It provides simple mathematical formulas for calculating conditional probabilities.

The dog is dark coloured on the body and has light brown markings on the belly, chest and face (muzzle). 

This colouration is caused by the at allele of the Agouti locus.

See: Agouti (Fellfarbe A-Lokus Hund)

Blue dog syndrome is caused by the dilution mutation (dog's coat, but also the skin, have a dark to light grey colour). This can also lead to severe health problems such as colour dilution alopecia (CDA - dilution colour-related hair loss). This results in a dry, dull and poor coat quality with hair loss and skin lesions increasing with age.

See: Blue/Silver (Coat colour D-Locus Dog)

In the Blue/Silver colour, the dog's coat, but also the skin, have a dark to light grey colour. Depending on the base colour, certain dilution effects of the colour occur.

The recessive d-allele on the D-locus (dilution) causes the optical dilution of the base colour. Here, a mutation-related loss of the MLPH gene leads to disturbances in the pigmentation of skin and hair.

However, the dilution mutation can also lead to severe health problems such as Colour Dilution Alopecia (CDA - dilution colour-related hair loss).

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The dark pigment eumelanin is lightened to brown. The dog has a chocolate or liver brown coat colour. The skin also becomes lighter, recognisable on the nose and muzzle. Three recessive mutations (b-c, b-d, b-s) in the TYPR1 gene (B locus) lead to the lightening of eumelanin.

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