Combinatorics & Probability (Coursera)

As presented here:

• Combinatorics provides a means to count things without counting them one by one.
• Probability starts with a probability space (a countable/enumerable set of outcomes, often aided by combinatorics), and composes it with a set of probabilities over that space, to build models. From there you can make predictions with that model of what you are likely or unlikely to observe in real trials.

My intuition after this course is that statistics is doing the same in reverse: if given a set of samples/observations alongside the probability space, you can try to approximate the probability function.