For those interested in applications of probability theory:
1. Calculations of the probability of "runs" or "streaks" of identical
outcomes in random series of events:
http://home.ptd.net/~artnpeg/runsx.htm
2. Calculations of the probabilities of dice faces displaying sums within
selected ranges of sums:
http://home.ptd.net/~artnpeg/diceroll.htm
Links to information on the math and algorithm derivations are given.
Art