I am studying Probability Theory 1, and we have learned the Law of total probability and proved it. I know the theoretical intuition behind it and I know why it makes sense from it's proof. But when I see a new problem (that they solved it using this method) I just can't relate it to this law.
Can you guide me of how and when should I use it, and what kind of problems can be solved using this theorem? I would like some simple example illustrating it's usage.
