Um. Compound probability DOES apply to a set of events, it's called "serial probability." The probability of getting 100 heads in a row is "nearly impossible" for the sake of statistics. Getting 50 heads and 50 tails total is the expected. Getting 100 in a row is astronomically difficult to do, save for rigging the system (a weighted coin.) The fact that you are suggesting that RNG statistics and Vegas gambling overlap is absurd and shows you have little understanding of statistics.