The color of the stallion is irrelevant, however he should not be overo in order to avoid the potential for an OLW or LWO foal.
The foal could be Overo , Tobiano, Tovero or solid colored.
This would depend on the base coat of the paint horse. Palomino colored horses carry one cream dilution gene that can lighten other colors. The foal might also inherit the paint parents pattern, such as tobiano, overo, tovero, or sabino type markings.
Well, an exact answer would require knowing what each horses exact genetic code was for their colors including the pattern for the sorrel mare (Tovero, Tobiano, overo, sabino, or splash.) also what was the stallions original color? Grey is a modifier gene that is typically inherited around 50% or more of the time.
That would be because the horse was born with the grey gene mutation. Grey horses are typically born another color and lighten gradually over time.
Paint horses come in two basic patterns, tobiano and overo.* Both of these patterns can be predominatly white or color. Tobiano:Solid color head with any combination of star, strip, blaze, snip. Commonly have white hair over the spine somewhere between the withers and dock. Commonly have four legs with some white hair, many times over the knees and hocks. Commonly have two-toned tails. If the horse's primary color is chestnut his tail will be chestnut and white. Tobianos can have blue or brown eyes, sometimes one of each color. Overo:Can have a solid colored head or may have bald, apron, or medicine hat. They usually have no white that crosses the back. Legs can be solid or white. Usually have solid tail color. Overos can have blue or brown eyes, sometimes one of each. While tobianos have one pattern as described above not so with overos. Overo patterns usually fall under one the following patterns:frame, splash, calico, sabino. *There is a third subcatagory called a tovero. This is the result of breeding tobiano to overo. Toveros usually have characteristics of tobiano and overo.
It would depend on what color the Paint horse is. (Paint is a breed, Pinto is a marking, neither are an exact color.)
Black mare aaE- Piebald stallion aaE-To- (we assume here that the spotting pattern is Tobiano, but he could be Overo, Sabino...and as long as the stallion has only a single spotting allele the spotting pattern can be arbitrarily assigned.) Piebald, by definition is a black horse with a spotting pattern. It is not known if either the stallion or the mare carries e at the extension site so there is a possibility that the foal could be chestnut if both parents are Ee. If either parent is EE all foals produced will be black. 50% chance of a white spotting pattern unless the stallion is homozygous for his spotting pattern (if he is overo he can only be heterozygous) which would make the chance increase to 100%. If the stallion carries multiple different spotting alleles...like Tovero (tobiano and overo), Sabero (Sabino and overo), etc. there is a 75% chance of the foal having a spotting pattern.
Yes, of course. But palomino is not a breed, it is a color. You would need to look at the breed to see if it would make a good jumper.
Color in horses can be very complicated. I'll try to make it brief. It would depend on what type of paint horse. In the tobiano color pattern you can have a horse that has two tobiano genes called a homozygous. This horse when bred with any other horse, reguardless of breed or color will produce a tobiano color pattern. The color could be decided by either parent. (bay, chestnut, black, ect.) If the brumby is bred to the other color pattern, overo, you could get several different patterns or a solid color. I hope that gives you an idea. Even in this day of advanced science, genetics can still be just a 'roll of the dice'.
White
That would be the famous Holstein.
Tortoiseshell is a natural-occuring cat color, so it would be almost impossible to guess her breed, as many breeds can be tortoiseshell.
First off, Appaloosa is both a breed and a color gene. Pinto is just a patchy coloring and not a breed. The winner would likely be the more experienced horse, regardless of breed.