Do puppies poop randomly

Small puppies cannot poop randomly. They must be stimulated in order to poop. At first they are stimulated by their mother licking their abdomens and genitalia. As they get older they are stimulated by waking, exercising, eating, and drinking. Until a pup is three months old they don't have control of the sphincters that release feces, so housetraining focuses on maintaining a schedule based on what stimulates them. From three months to six months of age the pup gradually develops more and more control of his own body functions. By six months he has the physical ability to control when feces are released. If he has been raised properly he will know by then were the preferred place to toilet is, will prefer keeping his den (the home) clean, and will attempt to "hold it" until given the opportunity to go outside to toilet.