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No, assuming a fair coin or any normal PDF the magnitude will not affect the probability. Given any set of stops or targets the trade off between Risk Reward ratio and win rate will always remain. You can explore this yourself using a simple binomial model of prices. Cox rubenstein i believe for pricing and just set your levels. I did the experiment with historical data but it matches the theoretical academic model anyway.
Sure, if you randomly lay out the coins with out tossing you would get the result. or if you picked black or white balls from a hat, or had your friend hold a 1 or 2 behind his back while upside down.
Not laying out randomly,but the way that`s required.So if you have three coins lay them out the moment suggests,either three heads up or three tails up.
No there is no edge in trade management, given a coin toss/ normally distributed time series. No indicator I know of is going to help you with this problem.