Will all 'events' that have an equal chance of one of two outcomes always have the same chance of having long one way runs?
For example, it's concievable that even though a coin flip is 50/50, one may see a run of 10 heads in a row. (this being the primary reason progressive systems don't work, I imagine).
Would that same chance of '10 in a row' be the same with every conceivable event where one of two outcomes are equally likely?
Would one expect to see the same crazy 10 in a row runs with the same frequency in blackjack (factoring house advantage), coin flips, roulette (again factoring 0 and 00)?
thanks in advance