Worked examples
Each of these shows the arithmetic step by step, with the formula and the assumptions it rests on.
Every expected value here was worked out by hand and written down before it was run through a calculator, and each example states the method version it was worked out under. When a method changes in a way that moves a published number, the example is re-derived at the new version rather than left standing — so what you read here and what the calculator gives you are the same figure.
What a 5x playthrough costs on 100 SC
You hold 100 SC with a 5x wagering requirement, and you intend to play a game you assume returns 96%. What does meeting that requirement cost, on average?
Why a 20% contribution game costs five times as much
You hold 100 SC with a 2x requirement, but the game you want to play contributes only 20% toward it. How much does that change the cost?
A 25% coin uplift, priced after its playthrough
A $20 package normally carries 20 SC but is offering 25 SC with a 1x requirement. What is a coin actually costing?
When the arithmetic stops producing a number
You hold 50 SC with a 30x requirement on a game you assume returns 95%. What is the expected balance at the end?
How much is left when the progress bar says 150
You started with 40 SC on a 10x requirement, playing a game that contributes 50%. Your account shows 150 SC of credited progress. How much more must you stake?
By method
| Example | Method | Takeaway |
|---|---|---|
| What a 5x playthrough costs on 100 SC | expected-balance v1.0.0 | A 5x requirement at 96% RTP costs about a fifth of the balance on average. The multiplier and the house edge multiply together — neither number means much without the other. |
| Why a 20% contribution game costs five times as much | expected-balance v1.0.0 | Contribution divides. Halving the contribution doubles what a requirement costs, and dropping it to 20% multiplies the cost by five. |
| A 25% coin uplift, priced after its playthrough | package-value v1.0.0 | Cost per coin is the advertised price. Cost per redeemable coin is the expected cost after wagering, and only the second one accounts for the wagering the coins have to survive. |
| When the arithmetic stops producing a number | expected-balance v1.0.0 | Where the arithmetic runs past the edge of its assumptions, the honest output is a statement of what broke, not a confidently negative number. |
| How much is left when the progress bar says 150 | playthrough v1.0.0 | A progress bar counts credited wagering. Your balance is spent in staked wagering. When contribution is below 100% those are different numbers, and only one of them is the work left to do. |