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The Bought Round / the super stake
a doubled stake for a doubled chance
The super stake: double the price, double the chance
A super stake multiplies the stake of every spin by a round figure and claims the same multiple of the chance to reach the feature. It is the tidiest of the four controls, because when the two multiples match the cost of reaching the feature does not move at all. What moves is the size of every bet and the size of the swings around it.
Desk spec
- super-stake rounds
- 240
- the stake multiple
- 2x
- the chance multiple
- 2x
- cost to a feature at 1x
- 100.00
- cost to a feature at 2x
- 100.00
- what changes
- the bet size
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.
Direct answerA super stake multiplies the stake of every spin - 2x across 240 invented rounds - and claims the same multiple of the chance of reaching the feature. When the two multiples match, the expected cost of reaching the feature is unchanged, because half as many spins at twice the price cost the same. It changes the size of each bet and the variance, not the price of the feature.
Why a matched multiplier changes nothing in expectation
the base route
100 spins x 1.00 = 100.00 to reach a feature once
the super stake at 2x, with 2x the chance
50 spins x 2.00 = 100.00 to reach a feature once
the same 100.00 either way
so the super stake is not cheaper or dearer in expectation
what it does change:
every bet is twice the size
every losing run is twice as deep
the time to reach a feature is half as long
the number of decisions is half as many
if the chance multiple is less than the stake multiple,
the super stake is worse than no control at all
The trap in a mismatched multiple
The super stake is fair only while the two multiples match. If a game doubles the stake and raises the chance by less than double - say by half again - the route to a feature costs more, not the same. That is why the check is always the same question, in this order: what is the multiple on the stake, and what is the multiple on the chance? If the stake multiple is the larger of the two, the control is a tax on impatience. If they are equal, it is a variance choice. This desk cannot tell a reader which it is for a named game, because the stated chance is the game own figure; it can only show what each case is worth.
A matched and an unmatched super stake
matched: 2x stake, 2x chance
50 spins x 2.00 = 100.00 -> the base cost
verdict: a size choice, not a price choice
unmatched: 2x stake, 1.5x chance
66.7 spins x 2.00 = 133.33 -> 33.33 dearer
verdict: the extra 33.33 is the cost of reaching the feature faster
than the chance actually improves to pay for it
Reading a super stake
- Find the stake multiple first - it is charged on every spin.
- Find the chance multiple the game quotes.
- If the stake multiple is larger, the control costs more in expectation.
- If the two are equal, the control is a variance and bankroll choice.
- Check the maximum win: a doubled stake can change how the cap is reached.
This desk prints invented multiples and assumes the quoted chance holds. It names no real game or studio and gives no advice on stake sizing; a doubled stake doubles the money at risk on every spin, and no figure here observes a live game.