Parents or guardians must have a look at the activities of their children to be aware about their ongoing habits but yes have seen in many cases that minors have drained out thousand of dollars out of their parents cards just on these gambling and some other games.But they should be guided in proper way.
Actually most of parents already look at his kids activity everyday, but some of them don't really strict that always on the kids where ever they go, they just give their kids privacy since not all things should be controlled. If you say strict parenting is the proper way to teach your kids, I'd say it's wrong since you're just don't let your kids to be more creative and always listen to your words.