Quote from walterjennings:
i just really confused myself thinking i was wrong by calling this incorrect. say your exit strat gives a 60%-40% win-loss ratio. flipping a coin to negate action on each signal. say you trade 1,000,000 times. roughly you will have close to 500,000 no negated trades. giving you 0.6*500,000 wins and 0.4*500,000 losses. you will also have ~500,000 negated action trades. giving you 0.4*500,000 wins and 0.6*500,000 losses. add those together. 500,000 wins. 500,000 losses. or 50% chance of profitability regardless of the exit method using coin flipping to enter the position. phew. i thought i went insane for a second there
But now we're back to flipping coins between complementary expectancies; given any strategy X, you will have the opposite expectancy with -X (given 0 slippage/spread). Since a fair coin flip gives you equal # of trades between 2 strategies whose expectancies have a SUM of 0, given future price move F, you will have 50% profitability over time.
A coin flip between 2 complementary strategies will yield the same conclusion if you put money in 2 accounts, one always doing the opposite of the other. What you are showing here is that the BEST you can expect from entries based upon a coin flip, given no slippage, is 50/50.


