There is a catch. The individual events must be independent. If someone decides to drop the coin flat on the table, heads up, whenever the die comes up 6, there are only 11 possible outcomes, not 12. This disclaimer is obvious, but in the real world, seemingly unrelated events are often connected in subtle ways.
The branch of mathematics known as combinatorics combines independent events and counts, or at least estimates, the number of outcomes. Probability brings in the concept of randomness, so that one of these outcomes can be chosen at random. Then we can compute the odds of a royal flush, 4 chances in 2598960. That will come later. For now, let's start counting events.