Let's see.
Nope, that's you saying I'm wrong and that probability can only occur in the situation of uncertainty. Which is incorrect.
OK, possible rolls of a dice:
{1,2,3,4,5,6}
Also mutually exclusive events, and you think dice rolls are outside the field of probability? You should give your degree back. Mutually exclusive events are part of the very definition of probability theory:
To qualify as a probability distribution, the assignment of values must satisfy the requirement that if you look at a collection of mutually exclusive events (events that contain no common results, e.g., the events {1,6}, {3}, and {2,4} are all mutually exclusive), the probability that at least one of the events will occur is given by the sum of the probabilities of all the individual events.[5]
Adding 0 to anything is also useless and a complete waste of time. As is multiplying anything by 1. However, these are still IMPORTANT MATHEMATICAL CONCEPTS to understand, and kids are taught them, even though they have no practical application. They are also tested on them. As they were tested on something FUNDAMENTAL here.