(September 29, 2017 at 12:57 pm)Lutrinae Wrote: From my perspective, the theory of chaos would ensure that there is absolutely no way one can get a 50-50 result on the first attempt.
The formula above looks pretty, and I certainly don't understand it, but it seems more like a formula of what could be rather than what absolutely will be.
You're guaranteed to get a 50/50 result if you ignore HH or TT flips. The probability of flipping heads and then tails is exactly the same as flipping tails and then heads, regardless of the individual probabilities of heads and tails. This is because it doesn't matter which order you multiple two numbers in, they result in the same value.