A plain-English look at when a gambling bonus has positive expected value on paper, when it costs you money, and the behavioural traps that sit around offers.
A plain-English look at when a gambling bonus has positive expected value on paper, when it costs you money, and the behavioural traps that sit around offers.
Bonuses are the main way gambling sites compete for customers. Whether one is worth taking depends on the terms, the game and how you behave once you have accepted it. This guide works through the maths for readers in the UK, USA, Ireland, Canada and Australia.
All figures are invented, for illustration. They are not real offers, and nothing below is advice to gamble. A bonus never changes the odds of any game.
The test uses expected value, covered in expected value explained. It is a long-run average, not a prediction for your session.
For a bonus, a rough first question is: how does the bonus compare with the expected cost of the turnover it requires? That cost is the total amount staked multiplied by the game’s house edge. This is a simplified funded-turnover calculation. It assumes the whole turnover can be played, and real outcomes also depend on completion, funding, bust-out (the balance running out first) and when you stop, which need a fuller model. It is a yardstick, not a forecast of what you could withdraw.
Take a 100% match on a £50 deposit, so the bonus is £50. The wagering requirement is 10 times the bonus only, and the game is a slot with an illustrative 4% house edge.
On paper, £80 compares with the £50 of your own cash that started the play. That £80 is a stylised average that assumes all £500 of turnover can be played, not a prediction or a best case. It is easy to overstate:
Now take the same £50 deposit and £50 bonus, but with a requirement of 35 times the deposit plus bonus. This is a hypothetical, outside current Great Britain rules, which cap wagering at 10 times the bonus.
The turnover cost of £140 is higher than the whole £100 starting balance. That does not by itself prove the offer has negative value: the number only describes completing the full £3,500 if it could all be funded, and a £100 balance can run out first. The expected cost of the full turnover exceeds the starting balance, but this alone does not establish the probability of completing it or of withdrawing money. Those probabilities need a model of stakes, outcomes and stopping. A proper estimate needs a model of completion, funding, bust-out and stopping, separating your own cash (the £50 deposit) from the bonus balance (the other £50).
A free bet where the stake is not returned is worth less than its face value. Suppose a £10 free bet is placed at decimal odds of 3.00, so a win pays £20 profit (£10 x 2.00, no stake back). Assume, separately, that the true chance of winning is exactly 1 in 3 (1 / 3.00), meaning fair odds with no bookmaker margin. Then the expected value is £20 x 1/3 = £6.67, about two-thirds of face value.
Under that fair-odds assumption the expected value is the free-bet stake x (d – 1) / d, where d is the decimal odds. It rises with the odds: £8.33 at 6.00, for example. Higher odds raise the average value but make a win much less likely. Quoted odds do not establish the true probability, and a bookmaker’s margin typically makes the real figure lower than this fair-odds value. Compare this with how the types of welcome bonus are structured.
Even a bonus that looks sensible on paper can cost more through behaviour:
You can run the numbers yourself in the bonus wagering and expected loss calculators on the spend tracker page. For more, read how bonuses actually work.
A bonus can look better on paper when the requirement is low and the turnover cost is small compared with the bonus, but the result is a simplified average and many outcomes end in a loss. Heavy requirements raise the cost of completing a bonus and can make a loss more likely, free bets are worth less than their face value, and behaviour often decides the real price. Decide your budget first, treat any bonus as optional, and decline if it would make you play more than planned.
18+ only (21 in most US states, 19 in most Canadian provinces for casino and betting). Gambling can be addictive. Free, confidential help is available: Great Britain: England and Scotland 0808 8020 133, Wales 0808 2819 265 (free, 24 hours), and GAMSTOP (gamstop.co.uk); US: National Problem Gambling Helpline 1-800-MY-RESET (the older 1-800-522-4700 also works); Australia: Gambling Help Online 1800 858 858 and BetStop (betstop.gov.au); Ontario, Canada: ConnexOntario 1-866-531-2600; Ireland: speak to your GP or the HSE. Never gamble money you need for living costs.