1. Consider the following Dilbert cartoon? Would it be possible for a PRNG to spit out 6 NINEs in a row?
It would be possible for a PRNG to spit out 6 nines in a row if the correct algorithm was used. For example, the algorithm could be X = sqrt(X) * 3, which, when a 9 is plugged in, would yield another 9, and so on and so forth.
2. Are slot machines fair? Why or why not?
Slot machines are fair because the probabilities are set and can be determined. However, the probability of winning at a slot machine is purposefully made extremely small, so they might seem unfair.
3. Is it possible to devise a method that would allow you to win consistently on a slot machine?
No, there is not. This is because to play a slot machine all that you do is pull a lever and a certain outcome occurs. It is impossible to manipulate the probability of events in a slot machine, so there is no way to increase your chances of winning.