Because there is no true "Gray" color, but actually a base color that grays with age, one would have to know the base color of the dam (mare) before being able to give any sort of prediction of foal color.
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palomino
The stud has to carry a grey gene and as grey is dominant it has to be a grey stud. No guarantee that the offspring will be grey unless the stud is homozygous for grey.
50% chance of a creme dilute either a palomino, a buckskin or a smokey black based on the base coat color genetics of the parents. The sorrel mare could be AAee Aaee or aaee The buckskin stallion could be AAEe, AAEE, AaEe, or AaEe If the stallion is AAEE all foals will be bay or buckskin. If both the stallion and the mare carry an a allele a smokey black could be produced.
From a stud.
A male horse kept for breeding is called a stud.
A stud fee
These percentages are from HorseTesting.com which has a color calculator on their website. I hope this helps. 29.17% buckskin 16.67% palomino 14.58% perlino 14.58% bay 8.33% Cremello 8.33% chestnut 4.17% smoky black 2.08% smoky cream 2.08% black.
Neither. Most horses don't have any money. The mare owner pays the stud fee. That's the whole point. They pay the stud fee and the next year they get a baby.
They have a foal.
No
Sorrel Mare would be --ee (-- is unknown genetics at the agouti site and ee is homozygous recessive at the extension site. Buckskin Stallion is A-E-Crcr or A-EECrcr. Since the e allele is generally at a very high frequency in most horse populations we'll assume that the stallion is A-EeCrcr. 50% of all foals will be red based, either palomino or sorrel 50% of all foals will be non-red based, either bay or buckskin
However, you can veiw the chances of each color with this Foal Color Calaculator in the relatred links. The calculator said the following when I entered in the mare and the stud coats Offspring Color Probability 43.95% - Buckskin 43.95% - Bay 3.13% - Palomino 3.13% - Chestnut 2.93% - Smoky Black 2.93% - Black However, there were options to specify. It asked for Red factor and the Agouti, whether it was heterozygous or homozygous. I did not know these specifics, so I left it as unknown, which is why I advise you go and experiment. See what would happen if the stud was homozygous, or if the mare was homozygous, or if she was heterozygous, etc. YOu can only know with the vet usually....but its unknown...you wont know until the foal is born sorry.