I'm not sure taking gambling as a family business is advisable. Gambling has side effects, and if as a father, a gambler and wants his children to be gamblers all through, then their future might become blur, seeing everything to be on a 50/50 chances.
But if the father owns a gambling site or club, then it can be inherited by the son or daughter as a business, continuing from the footsteps of the father. This will lead to more illicit things, as that's the line gambling trails on as a business.