How to make section 7.1 way harder than necessary

The book is pretty vague whan it describes the dice we're using. The most specific it gets is on number 21, where it says a "fair die." On numbers 5 and 37, it just says "die."

Now, considering these facts, take a look at the Wikipedia page of doom. You should notice two things: first, there's (probably) enough content on there to prove by induction that an n-sided die can exist, assuming that n is an integer greater than or equal to 1. Second, the values for each die are not limited to the set of positive integers, and can, in fact, hold literally anything you can draw on the die face (for example, in the D6 section alone there are fraction dice and animal dice).

What this means is that for each dice problem in 7.1, you have to assume n-sided dice whose sides hold values taken from the set S, where n is an integer greater than 0, S is a subset of {x|x is a thing that exists}, and 0≤|S|≤n. Also, in some problems one or more of these dice may or may not be fair.

 

God I love doing math at 3AM.