How would one learn probability for the purposes of game design? I wish to design games that use dice but want to have a firm understanding of the subject so that my choices aren't based solely on feel or don't require ludicrously extensive testing just to get a grasp on the odds of a given scenario.


I'm willing to read textbooks but I find video resources much easier to go through, so I would appreciate as many video resources as you have to offer. I'd also appreciate if you have any information or advice on what tripped up you or people you know when trying to learn the subject.