I am trying to remember a story I read many years ago - early 90s I think - featuring a small family travelling on a spaceship, which I remember being called "dragonball", but I suspect that might be wrong as googling for it only finds "dragonball z", so I've probably just totally forgotten the name.
The story featured them landing on a planet occupied by anthropomorphic rabbits, racially segregated by fur color (black and white). Their society was governed by a computer designed to favour the greatest good for the greatest number, which caused it to to attempt to exterminate the slower breeding (less-populous) variant. The visitors solved this by convincing the gray-furred rabbits, who lived outside the computers control, to register themselves. As the number of gray rabbits was greater than either of the others, this somehow something something something and so the computer stopped trying to kill anyone, cue happily ever after.
Any idea what the book was?