A hinny is a cross between a male horse and a female donkey. Due to the donkey generally being smaller, the hinny is usually smaller and lighter-boned than a mule, which is a cross between a male donkey (jack) and a mare. I'm trying to convince a client of mine who raises miniature horses to breed one of her minny donkeys with her little stud. That way we could have "minny hinnies!" :-)