Quote from NoDoji:
Hi Steve!
It seems you're comparing two different things here: the random distribution of a 50/50 odds situation (coin toss) and a positive expectancy system (odds greater than 50%).
I would think that if your overall profitability is based on the average win rate of trading all valid setups in a particular time frame being greater than 50%, picking and choosing which trades to take from among valid setups can ruin the edge pretty easily. What if out of 20 setups in a given day, I choose six losing trades and two winning trades, instead of trading all 20 setups? What if I do this day after day? I've spoken with a few struggling traders who look to trade well-defined setups, but they don't trade all of them and they seem to consistently lose money.
TRO posted this neat little study that illustrates the problem with picking and choosing in the framework of a positive expectancy system with totally random distribution:
"Look, for example, at this elegant little experiment. A rat was put in a T-shaped maze with a few morsels of food placed on either the far right or left side of the enclosure. The placement of the food is randomly determined, but the dice is rigged: over the long run, the food was placed on the left side sixty per cent of the time. How did the rat respond? It quickly realized that the left side was more rewarding. As a result, it always went to the left, which resulted in a sixty percent success rate. The rat didn't strive for perfection. It didn't search for a Unified Theory of the T-shaped maze, or try to decipher the disorder. Instead, it accepted the inherent uncertainty of the reward and learned to settle for the best possible alternative.
The experiment was then repeated with Yale undergraduates. Unlike the rat, their swollen brains stubbornly searched for the elusive pattern that determined the placement of the reward. They made predictions and then tried to learn from their prediction errors. The problem was that there was nothing to predict: the randomness was real. Because the students refused to settle for a 60 percent success rate, they ended up with a 52 percent success rate. Although most of the students were convinced they were making progress towards identifying the underlying algorithm, they were actually being outsmarted by a rat."
P.S. If the trading system is based on a win rate close to 50% and money management is the edge, then picking and choosing probably wouldn't matter.