Keep in mind that unless an animal is albino (has NO pigment) they always have a base coat color that is one of the above. It may be diluted, or disguised, but it is still there, and will be passed on. It may be hard to tell what the base coat color is, but there is always a base color.
Ed is considered black, E+ is considered wild and e is considered red.
Ed is dominant over E+ which is dominant over e.
Any animal carrying E will be black in color. It doesn't matter whether they are EdEd, EdE+ or Ede, they will be black. But when it comes to passing on genes, only EdEd will always pass on Ed. The other two will pass one either E+ or e 1/2 of the time. This is where the surprises come in. That black cow bred to a black bull, that throws a red calf for example.
This animal is Ede. We know this since she has had a red calf in the past.
This animal is EdE+. Again we only know this because she has produced calves with wild type coloring. She has also produced black calves.
To the best of our knowledge, this cow is EdEd. She has only produced black calves in the past, regardless of what she was bred to.
E+ animals will be black if they also have the Ed. However if the animal is E+E+ the animal will be wild colored, that is be reddish, to brown with darker areas on the head and neck. E+e animals will be very similar to E+E+, although they may be somewhat more red. They will still have the darker areas on the head and/or neck.
ee animals will ALWAYS be red. They are homozygous for red and cannot be any other color. They can only pass on the e gene. However, you must remember that if e is in the prescence of either Ed or E+ you will not necessarily see it. Again, this is where those surprise red calves come from!!
Now remember, that the other coat color genes work on top of the base color. As stated earlier, the base color may be diluted or hidden. There are genes that produce patterns, spots, dilutions and stripes. Some will make an animal appear white, or tan or grey. There are genes that place spots of color inside of white areas. But there will always be a base color, with the exception of an albino where the pigment is completely removed from an animal, and this includes eye pigmentation.