Returns are just a probability in disguise
Every price you see in a market is a statement about probability. Decimal returns of 2.00 say the market thinks the outcome is about 50% likely; returns of 4.00 imply roughly 25%. Learning to instantly translate a price into the probability it implies is the single most useful skill a beginner can build, because every later concept — value, edge, expected return — is just a comparison of probabilities.
From returns to implied probability
The conversion is simple: implied probability is one divided by the decimal returns. Returns of 2.50 imply a 40% chance (1 divided by 2.50). This is the market's estimate of how likely an outcome is, baked into its price. Reading it fluently lets you stop seeing returns as a payout and start seeing them as a forecast you can agree or disagree with.
Where value comes from
Value — the entire point of investing in any market — appears when your estimate of an outcome's probability is more accurate than the market's, and in your favour. If a price implies 40% but you have good reason to believe the true chance is 50%, that gap is your edge. You will not win every time; value is about being right on average, across many such disagreements, not about any single result.
The vocabulary underneath everything
Margins, expected value, the Kelly criterion, closing line value — every advanced topic in this academy is built from these three words: returns, probability, value. Get comfortable moving between a price and the probability it implies, and judging whether your own estimate beats it, and the rest of the material stops being jargon and starts being obvious.