Is dice a finite state machine?

just thought about a question:
is dice a finite state machine?

i think dice is a kind of complex finite state machine. Although it seems the number you get everytime by throwing out the dice is not dependable on the previous number, by throwing as many times as possible, you will get equal times of every number, or we can say state, so it seems it really can "remember" its all previous states somehow. This is really magic i must say!