The simplest durable lesson here is this: expected value is about weighted outcomes, not about being "right" most of the time.
Core idea: Investors often obsess over hit rate because it feels psychologically satisfying. Expected value asks a better question: what do wins and losses contribute after probability and payoff size are both counted?
$$ EV = \sum_i p_i \cdot x_i $$
Plain English: Expected value is the probability-weighted average of all outcomes.
Why it matters: That is the foundation under position sizing, trade filtering and portfolio discipline.
In real life: A setup that wins 40% of the time can still be excellent if the upside meaningfully dominates the downside.
Common slip: The most common error is optimizing for comfort instead of expectancy.
Try this: Explain in one sentence what problem this idea solves and what problem it does not solve.
A lot of confusion disappears once you separate the headline from the mechanism.
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