You don't need to be lucky to feel lucky. Luck is somehow related to confidence and attitude. People who say they are precise aren't actually precise everytime. To be lucky, all you need is sense of timing and great convincing power. Luck is all about faking it. Yet, some people are those who possess true talent and practice damn hard; I am talking about that 90% crowd who aren't skilled yet show that they are. "I was just lucky!" is another gesture to of humbleness. Coming to the logic part, when you actually don't know the theory behind a few things, here logic comes to rescue. If you consider the odds are in your favour like we discussed about the luck above, then you can solve problems related to a specific theory based on logic itself and no special knowledge about it. This is how people get them called "Jack of all trades". Trust me, it is very difficult to have knowledge of each and everything in one's lifetime. So, people do fake some sometimes! And this is how I relate luck and logic with each other.