Mike, thank you for your very well thought out and coherent reply. We are discussing tangentially the same ground that the two camps of probability have been arguing about for more than 100 years.
I'm not suggesting that at all. It never goes to a state where each spin is not independent. I'm saying that a coincidence of randomness some times presents a state of opportunity irregardless of the over all probability and the odds for an independent spin. Knowing the odds has nothing to do with opportunity recognition. Furthermore, the odds can't predict the outcome of the next spin.
QuoteDo you think it's only possible to calculate the probability of a sequence of outcomes only if each is not independent?
I'm not suggesting that at all. It never goes to a state where each spin is not independent. I'm saying that a coincidence of randomness some times presents a state of opportunity irregardless of the over all probability and the odds for an independent spin. Knowing the odds has nothing to do with opportunity recognition. Furthermore, the odds can't predict the outcome of the next spin.