For quite a long time I had the strong notion that the singular of "dice" is "die". After all, Julius Caesar said "the die is cast", not "the dice is cast". It also follows a somewhat common pattern of irregular plurals in English, where for example "mice" is plural, never singular (in this case the singular quite obviously being "mouse").
It, thus, always bothered me when people (eg. in YouTube videos) used the word "dice" in singular, to refer to one single die.
One day, however, I did a bit of research on this subject, and turns out that it's not actually that simple.
The thing is, whether "dice" is an acceptable singular form of the word depends on the source. It also depends highly on the source whether it considers "die" to be the primary singular form, and "dice" to just be a vernacular form that's "sometimes used", or whether it's the other way around.
Even dictionaries vary on this, depending on the dictionary. Some of them list "die" as the primary form and just make a passing mention of "dice" also being used for that role. Some of them, however, do quite the opposite, and a few of them even list "die" as an "archaic" form, ie. not in use any more.
Bottom line is that there appears to be no strong consensus. Some sources say one thing, others say another, and there is no definitive rule.
This is probably, once again, a case of the English language changing over the decades to conform to the most common use of words, even if those uses start as "incorrect" uses. There is no hard rule that says that words are set in stone and can never, ever change (in form or meaning). They change constantly due to how they are widely used.
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