The Bought Round / the numbers
every figure in one place
Every figure on one page
The whole desk rests on ten invented samples. This page collects the figures they produce in one place, so a reader can check the arithmetic on any other page against the numbers here rather than trust a single sentence. Nothing on this page is observed from a live game; every figure follows from the samples by the arithmetic shown beside it.
Desk spec
- rounds sampled
- 1,200
- buy price mean
- 101.0x
- buy return
- 96.5%
- ante route
- 62.50
- gamble edge
- 6.67
- cap
- 50.0x the price
The control platesample A / 1,200 extra-stake rounds, four controls
feature buy100x stakeBuys one whole round at a fixed price. The stake moves from 1x to 100x in a single decision; the return is the bought round's, not the base game's.
ante bet+25% per spinRaises the price of every spin a little and the stated chance of reaching the feature a lot. It makes a non-triggering spin dearer and can make the route to the feature cheaper.
super stake2x per spinDoubles the stake for roughly double the quoted chance. It changes the size of the bet and the variance, not the expected cost of reaching the feature.
gamble0 until a winCosts nothing to be offered, then stakes a win on a double-or-nothing. It is the only control here that can take money already won and put it back at risk.
four controls, one thing in common: each changes what a round costs, and none changes what it can return beyond the game's own mathematics.
Direct answer
In one place: 1,200 extra-stake rounds split across the four controls; a mean buy price of 101.0 times the stake; a 96.5% buy return that leaves a 3.50 edge on a 100.00 buy; an ante route to a feature of 62.50 against a base route of 100.00; a 6.67 edge on a gambled win; a 5,000-times cap, or fifty times the price; and a month of buys expecting to cost 1,680.00.
1,200extra-stake rounds sampled
101.0xmean buy price
96.5%return on a buy
3.50edge on a 100.00 buy
62.50ante route to a feature
6.67edge on a gambled win
50.0xthe cap in price units
1,680.00expected cost of a month of buys
| sample | the figure | value |
|---|---|---|
| A / the controls | rounds sampled | 1,200 |
| B / the buy price | mean price | 101.0x |
| C / the return | average return on a buy | 96.50 |
| D / the ante | ante route to a feature | 62.50 |
| E / the super stake | cost to a feature at 2x | 100.00 |
| F / the gamble | edge against keeping a win | 6.67 |
| G / the cap | cap in price units | 50.0x |
| H / the rules | buys that counted for nothing | 384 |
| I / one round | return on the price | 2.40x |
| J / the ledger | expected cost of a month | 1,680.00 |
| every figure follows from the samples by arithmetic shown on this desk | 10 | |
How the month cost is reached
buys in a month 480
the price of each 100.00
spent 48,000.00
the buy return 96.5%
expected return 46,320.00
expected cost 1,680.00
and of those 480 buys
96 counted toward wagering (20.0%)
384 counted for nothing (80.0%)
60 were barred altogether
so the 1,680.00 is the cost of the play,
and the 384 is what an offer would not reward
This desk prints invented figures and names no real game, studio or operator. Every number here follows from the ten samples by the arithmetic shown; none is observed from a live game or account, and none is a prediction of any real product.