Most pets, like people have hand (paw) preference:
“A 1991 study at Ataturk University in Turkey showed 50 percent of cats were right-pawed, 40 percent were left-pawed and 10 percent were ambidextrous. That study might be out-of-date, Schwartz said, but it does provide percentages.
A 2006 study from the University of Manchester in England showed dogs were split half-and-half.
About 90 percent of humans are right-handed and 10 percent are left-handed.
Laterality — the textbook term meaning one side of the brain is dominant over the other — may someday help breeders predict which puppies will make the best military, service and therapy dogs, Schwartz said, and that could be lifesaving.”
There are some practical application of left-right ‘handedness’ of your pet – research indicates that dogs with strong preference for one side over the other are better at doing jobs demanding great concentration, such as sniffer dog work and guarding. While dogs with weak side preference are better at adapting to new environments, a quality that would benefit a seeing eye dog for example.