I have seen so many people who are having trouble getting approved. Whenever I make a new website, it gets approved and displays ads within ten minutes. Am I lucky, or does google favor me?
Neither. The majority of people here can't make a web site to save their lives. And if they do: it either violates googles terms of service, under construction, lacks content, or a web site that is not accessible. That's why you read about so many of these twits getting denied. As for all of these people getting suspended... they usually have web sites that violate the terms of service, create fraudulent links OR interact in communities where their friends and foes "click bomb" them for retaliation or out of spite. Google Adsense is easy to get approved for.
approved or not depends on the firt time. Not for every single site afterwards.. You can put adsense on as many sites as you want once you've been accepted in their program. So there is no new site approval or denial.. Maybe that's where your confusion is.