Yes because Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384322 B.C.), though analysis as a formal concept is a relatively recent development.
Some people might not realize, but sometimes they are analyzing already, that's human nature in a way. The way they will approach a problem beforehand, planning, it's also part of analyzing and that's going to help people to achieve optimal results.
I believe most people do analyze games on board, they do it because they want to increase their chances of winning and those who do not analyze will only win temporarily and will lose in the long run. Even if you are just gambling for fun, I believe you will also take time to analyze before hitting the button. That gives additional fun especially when you win and you will think you are good in gambling, it's fulfilling to us actually.