If you're getting a dwarf, don't go getting it from a pet store. A) because of the reasons you should never get any pet from a pet store, and B) they often lie. Rarely is a dwarf at a pet store really a dwarf. I got Picca and Lahi from a pet store (7 years ago, I was ignorant) and they were supposed to be dwarves.
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I didn't know that they were, as babies, already nearly as big as a full grown dwarf, and as adults it's very clear that at the very most they're half dwarf.
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Otherwise, neither of them had any health problems at all for the first six years of their lives. Picca passed away last year, but based on the hard mass the vet felt in her abdomen it's likely that was cancer (we never got her spayed, and unspayed females are at VERY high risk of cancer the older they get). Lahi has had a new and wonderful health problem every month this year from January to May, but the causes were normal teeth problems, a bacterial infection, an abscess (also caused by bacteria), bad flooring, and natural aging. Neither ever had problems I would put down to their breed. Lahi was completely healthy for 7 years and he's been healthy again since May.
One thing to note, however: unlike dogs, on average rabbits have higher life expectancy in the bigger breeds over the smaller breeds. Kept properly and lucky in health, a large rabbit will live well into their teens. Smaller rabbits have life expectancies closer to preteens, I believe.