Clearly gambling is a tradition in the OP family background, he started to gamble at a very tender age so it's easier for him to understand when he noticed that his daughter is taking to the tradition. My worry is that she is not up to the minimum age to gamble, atleast in my country you need to be 18 years and above to gamble. I don't advocate for encouragement of underaged to gamble but in the case of the OP since they start early his duty is to constantly educate and guide his daughter against irresponsible gambling. It is ok for a grownup to gamble so far they do so responsibly.
I dont need to explain this, but am sure you know how kids learn stuff right...if an adult or anyone around them is fond of using a certain word or something that catches the kids eye, you know what happens..the kid starts to use that word...a process kids use to learn language and habits from parent's...so like I said, the parent should have been deliberate not to gamble in her presence to allow the Kid to grow and explore other options like other girls of her age, besides if this gambling thing is a profitable venture for them then why break the family business 