The maximum win rewrites the buy price
Every game has a most it will pay, and a buy price changes what that ceiling means. If the maximum win is 5,000 times the base stake and a buy costs 100 times the stake, then the most a bought round can return is fifty times what it cost. The cap does not change the price; it puts a lid on what the price can buy, and that lid is easy to read once both figures are in the same units.
- maximum win
- 5,000x stake
- the buy price
- 100x stake
- the cap as a multiple of the price
- 50.0x
- buys that reached it
- 12
- reached share
- 2.5%
- buys sampled
- 480
A maximum win caps what a bought round can return. If a game pays at most 5,000 times the base stake and a buy costs 100 times the stake, the most one bought round can return is fifty times the price. Of 480 invented buys, 12 reached the cap - 2.5% - so a buy makes the ceiling nearer in reach as well as larger in money.
| round | price | the most it returns | cap in price units |
|---|---|---|---|
| a single spin | 1.00 | 5,000.00 | 5,000.0x |
| a bought round | 100.00 | 5,000.00 | 50.0x |
| a buy compresses the same ceiling into one round | 100x | ||
Why a buy makes the ceiling matter more
A cap is a rate as well as an amount. Reached across a hundred small spins, a 5,000-stake ceiling is distant; reached by one 100-stake buy, the same ceiling is fifty times the price and far more likely to be the thing that truncates a good round. Twelve of the 480 sampled buys reached it, and there is a second effect a reader should hold: a capped round returns the ceiling and no more, so the top of the return distribution is thinner than the game mathematics would otherwise produce. Where a bought round would have paid more, the cap quietly files the remainder away. The desk cannot quantify that remainder for a named game, but it can show the shape: the ceiling binds most on the round that does best.
- Convert the maximum win into multiples of the buy price: cap divided by price.
- Remember the money ceiling does not change with the round size - only the multiple does.
- Check how a game defines the cap: per round, per bet or per session.
- Note that a cap thins the top of the return, because the best rounds are truncated.
- Compare the cap with the price before deciding what a buy can ever win.