Interesting.
I don't know if Dave was joking or not on the "game of chance" comment. It was, as far as I can tell, not regarded as chance at all, but a valid method for the exercise of God's will. This can be seen not only in the OT occurrences of the word, but also in the context of Peter's (or whomever wrote 2 Peter) use of it in the epistle.
We moderns are more sceptical. I would tend to regard playing dice or Rock, Paper, Scissors to determine the will of God to be "divination."
SD