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RTP Wise / Expected value
Arithmetic

Stake sizing changes the ride, not the edge

Expected value is the average result of a round weighted by its odds. It is small per round and grows steadily with turnover — which is why stake size and the number of rounds matter more than any single outcome.

Expected value in one line

Expected value is what a round is worth on average, before it is played. For a fixed-stake game it is the stake multiplied by the house edge, with a negative sign: at a 4% edge, a 1-unit round is worth minus 0.04 units in expectation.

Expected value, illustrated EV(round) = stake × (RTP − 100%) EV(round) at 96% RTP, 1-unit stake = −0.04 units

Multiply by the number of rounds to get the expected total cost of a session, and remember that this expectation is the centre of a spread — not a schedule.

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What changing your stake does — and does not do

Raising the stake scales everything about a round: its expected cost, and also its variance. It does not change the edge, which is a property of the game, not of how much you put down.

  • Doubling the stake doubles the expected cost per round and widens the spread of a session.
  • The edge stays constant at every stake, because it lives in the odds.
  • Stake relative to bankroll is what governs survival. A large stake against a small bankroll raises the chance of a very short session.

For the same RTP, a smaller stake is the single most effective way to lengthen a session and to soften variance — and, simultaneously, the slowest way to reach any particular result. There is no stake size that flips the sign of the expected value.

Why the number of rounds dominates

Because expected cost is proportional to turnover, the number of rounds a session contains is the strongest predictor of its average cost — far stronger than any individual win or loss. A long session at a fixed edge accrues expected cost steadily, however kind the early rounds feel.

This is also the mechanism behind wagering requirements on bonuses: turnover, not time, is what the edge is applied to. A requirement to stake an amount many times over multiplies the expected cost of the bonus by the same factor, which is why the maths of a bonus is usually dominated by its wagering terms rather than its headline size.

Risk of ruin: the honest limit of the maths

Risk of ruin is the chance that a bankroll is exhausted before a session ends. It rises with higher stakes relative to the bankroll and with higher volatility, and it falls when either is reduced. It is the one session-level figure the maths genuinely can describe.

In the long run

What it can tell you

Given a bankroll, a stake and a volatility, how likely exhaustion is, and how to change one of them to change that likelihood.

In one session

What it cannot tell you

Whether this session wins. No configuration of stake or volatility makes the expected value positive while the edge remains.

Read the maths as a way to understand the shape of the risk, not as a method for removing it. The edge is not a puzzle to be solved; it is the price of the game, and the honest use of these numbers is to size a session you can afford, not to imagine one that cannot lose.

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Knowing the maths is not the same as beating it

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This page carries an affiliate link to gamdom.com/r/csgo2026. If you open an account through it we may earn a commission. It costs you nothing extra, it does not change what we write, and no operator pays for a position here. 18+ only. Gambling involves risk and can cause serious financial harm — including debt, damaged relationships and mental-health problems. Game maths is descriptive, not predictive: a favourable-looking RTP states how a game is built over millions of rounds, never what will happen to your balance, which can be lost entirely in a single session regardless of the number. Free, confidential support exists in most countries through national gambling-harm helplines. Never stake money you cannot afford to lose, never borrow to gamble, and never stake more to recover a loss.