Albino, REW, Ruby Eyed White, Red Eyed White, and (usually) White are all different names for the same color. Sometimes White can refer to the Blue Eyed White color, but it usually refers to the red-eyed version of white (except most notably in Beverens). Still, it's good to specify which colored eyes is intended with White to avoid confusion as these are two genetically different colors.
Red Eyed White is genetically caused by a different gene than Blue Eyed White. Both are masking colors, which means that their whiteness hides the true color of the rabbit. All whites have genetics for another color underneathe, but aside from knowing their lineage and offspring, or if genetic testing was done, there is no way to know what they truly are.
Though honestly, it's pretty typical for them to be a more common color. For instance, the odds of a white Holland Lop being tort is greater than the odds of them being a Harlequin simply because Tortoise is far more common of a color in that breed. However, you can't rule out other colors without evidence.
What happens when you breed a Ruby Eyed White to a Blue Eyed White?
Ah! The age-old question. Unfortunately, we don't get a rabbit with one blue eye and one red eye, as cool as that would be. Red Eyed White removes more pigment, so any rabbit with cc will be Red Eyed White (even if they also have vv, which would mean the rabbit is both BEW and REW underneathe the REW). This is also the case with Himalayan (ch)—sadly, you can't get Blue Eyed Whites with himi points.
A major difference between Red Eyed Whites and Blue Eyed Whites is their direct offspring when bred to a colored rabbit.
REW x normal color
- Red Eyed White is a simple recessive and none of the offspring will be white (or have any white on them) unless the colored parent carries REW (c). If the other parent carries REW (c), some of the offspring will be Red Eyed Whites.
BEW x normal color
- BEW on the other hand is capable of causing white markings and even blue or partually blue eyes in offspring with only one copy of the Vienna (v) gene. Complete Blue Eyed White is also recessive to normal colored rabbits, like REW, so you won't get any BEW unless the other parent has a copy of Vienna (v). However, any rabbit with a copy of Vienna (v) may or may not have some form of visible markings where they lack pigment. This can even cause heterochromia (one blue eye and one colored eye). With all of the pretty colors they can make, it's no wonder the Vienna gene is popular for pets!