200 free spins, and the rate a feature round would have to arrive at

1

What two hundred turns come to before anything is asked

Two hundred turns commit £20.00 of stake to the reel, where one turn is priced at the 10p this card puts up supposed, and sourced to nobody, that being the foot of a range the title’s own session response takes up to 250.00 a turn the coin steps, off that response. None of the £20.00 belongs to the reader. What comes back out does, and a published 96.71 per cent makes the expected sum £19.34, which is the figure every condition on this card is written against.

Twenty-five times the winnings is £483.50 of staking before anything may leave. The reel takes 3.29 points of staking, which is £15.91, and £19.34 less £15.91 leaves £3.43. In one line, where g stands for whatever weight a slot is granted towards the requirement:

E = B × (1 − W × (1 − RTP) ∕ g)

The weighting comes first here because it is the one term the reel has no view about: g is the weight a named slot is given against the requirement itself, and it reads one wherever a slot is counted whole a term of the grant. RTP carries the maker’s 96.71 per cent, W is twenty-five, and B is the £19.34 rather than the £20.00, because a count of turns produces its winnings before any condition touches them.

That table asks a question the headline never raises. Turns are granted on a named title, but staking is usually free to be done on anything the terms allow, so the winnings arise on one reel and may be carried across another. Twenty-five times is half a step inside break-even at 96.07 per cent and five steps inside it at 96.71, and the whole of the difference between £3.43 and £0.34 is the reader’s choice of where to do the work. Neither figure is bad arithmetic by the offer. Both are what the offer produces once a published quantity the offer never mentions is filled in.

2

Solving for the rate near certainty would require

A count of two hundred is sold on the feeling that the round must turn up somewhere inside it. That is a statement about a rate, and the rate can be solved for even though nobody publishes it. Suppose each turn carries the same chance of opening the round and that turns do not lean on one another a supposition of this card, and the only one the sum needs. Then the chance of no round at all across two hundred turns is that per-turn chance subtracted from one and raised to the two hundredth power, and setting the result where a reader would call it near certain gives the rate the count requires.

Put near certain at nineteen grants in twenty and the round has to arrive about once every sixty-seven turns. Put it at ninety-nine in a hundred and it has to arrive about once every forty-four. Those two figures are the whole content of the phrase two hundred turns almost guarantee it, and both of them are demands made on the machine rather than statements about it.

Now the part that matters. Neither the maker’s page for the title nor the data a session hands the game client carries any frequency for the round. The one rate that data holds is for the largest outcome. Two figures for the round are in circulation on review sites, the larger exceeds the smaller by more than half again, the game holds neither of them, and both sit a good deal rarer than one turn in sixty-seven, which leaves the phrase a reader was sold unsupported in the only direction it could be checked. No frequency for the round is printed on this card and nothing here rests on one.

It is worth saying plainly what that leaves. A reader cannot be told how likely the round is inside two hundred turns, by this publisher or by anybody else working from published material. What a reader can be told is the threshold the claim needs, which is one turn in sixty-seven, and that the threshold is a published quantity nowhere and a reviewer’s guess in two places. That is a smaller answer than the question asked for and it is the honest one.

3

What one round hands over, in turns and in money

The award is published even where the frequency is not, and it is modest beside the grant. Three scatters open the round with ten turns, four with fifteen and five with twenty a map the maker’s page and the session data give identically. Against a grant of two hundred, the largest of those awards is a tenth of what the reader already has. Priced at 10p a turn, ten awarded turns commit £1.00 of stake and are expected to yield 97p; twenty commit £2.00 and yield £1.93.

The round extends itself on wilds. Each fourth wild retriggers it for ten further turns, and the win multiplier steps to 2x, then to 3x, then to 10x across the first three retriggers. Getting to the top step therefore means a twelfth wild inside the round and thirty turns added to whatever opened it, so a round that gets there has lasted forty turns or more, a fifth of the entire grant. What that top step applies to is something the maker leaves unsaid for this title: the ladder is printed with no object beside it, and an object turns up only in the maker’s account of a different title, so none of that account is borrowed here.

Set those awards beside the grant and the proportion is the point. A grant of two hundred turns that opens one round has been handed between a twentieth and a tenth of itself again, and even a round climbing the whole ladder adds a fifth. That is not nothing, and it falls well short of the thing the headline implies, which is that the round is where the value of the offer sits. Section four says where the value actually sits, and it is not a place a reader can choose.

One figure the reel publishes belongs here rather than with the round, because it is often confused with it. A money symbol the round collects may carry 2,000 times the stake, while the round in total is capped at 2,100 times the stake the symbol ceiling off the page, the win limit off the data. A hundred stakes is the whole distance between the largest single symbol the maker describes and everything one round may produce at once, which at 10p is £10.00 between £200.00 and £210.00.

4

The published figure already contains every round

Here is the argument this card exists to make, and it needs no frequency at all. The 96.71 per cent is a return to player, which is an average taken over everything the machine does: base turns, scatter turns, retriggers, multipliers and the win limit together. The round is inside that average already. So a reader who somehow made the round certain would not be raising the 96.71 per cent, because the 96.71 per cent was computed with the round in it at whatever rate it genuinely has.

That is why the expected close of this grant is £3.43 and would still be £3.43 if the round arrived on the first turn every time. The sum came from £19.34 of expected winnings and twenty-five times of staking, and £19.34 came from 200 turns at 10p multiplied by the published figure. Nowhere in that chain is there a term for how often the round opens, because the published figure has already absorbed it. A reader told that two hundred turns are worth more than a hundred because the round becomes likely has been told something the arithmetic cannot carry: two hundred turns are worth twice what a hundred are worth, in a straight line, and the line has no bend in it at the point where the round becomes probable.

5

What certainty moves, which is not the average

Certainty is not worthless. It moves the shape of the result, and shape is the subject of this part of the domain. A grant of two hundred turns in which the round never opens returns whatever the base turns returned, and one in which it opens three times returns a good deal more. Making the round likelier would narrow that spread by taking weight out of the first case and putting it into the middle, without touching the average, which is the definition of a reduction in dispersion rather than an improvement in value.

A reader who wants the narrower spread is wanting something real, and the published figures let it be said which direction the family moves in. The win limit stands at 2,100 stakes on the original and on three other titles, and at 5,000, 10,000 and as much as 25,000 stakes elsewhere in the family a win limit apiece, each off its own data. A title with a higher ceiling and the same published return is a wider distribution at one average, which is the reverse of what certainty about the round would deliver. Those two preferences pull against each other and no offer mentions either.

One turn in sixty-seven is the rate the round would have to arrive at for nineteen grants of two hundred turns in twenty to contain one, which is a demand this card derives and a figure no primary source states

There is one more thing certainty would not do, and it is the most commonly believed of all. It would not improve the chance of the largest outcome. The win limit is timed at once every 3,880,481 turns, and that rate is counted in turns rather than in rounds, so a grant of two hundred is two hundred draws against it however many rounds those two hundred turns contain. Rounds award more turns, and more turns are more draws, but the turns a round awards are already inside the published figure and so is their contribution to the limit.

6

The ceiling, and the penny it puts into the average

Two thousand one hundred stakes is the most one round of the original will hand over, and at 10p a turn that is £210.00. Hold it against the grant: £210.00 is getting on for eleven times the £19.34 the whole two hundred turns should yield, so one turn can be worth eleven grants. The rate at which it happens is the one frequency the game publishes about itself, once every 3,880,481 turns, which makes a grant of two hundred turns two hundred draws and puts the arithmetic at about 19,402 grants to one in which the limit lands.

Now the contribution to the average, which is the figure worth carrying away. A ceiling of 2,100 stakes arriving at that rate adds a shade over half a stake to every thousand turns, so across two hundred turns at 10p it amounts to a penny. One penny out of £19.34. The outcome a machine is advertised on pays for about one eighteen-hundredth of what this grant should return, and the rest comes from results the paytable prices without the game timing any of them.

That last clause is where this card stops, and the stopping point is the section’s own subject. Volatility is published for not one title in the family: the word is missing from every page the maker keeps and there is no field in a session response that could hold it, so this card puts no such figure anywhere. Published instead are a paytable whose top row runs from two thousand down to five, a ceiling of 2,100 stakes and a single rate. Between them they say that the average of £19.34 is held up by results most readers will not meet, and they do not say by how much.

7

Eight minutes of grant against three hours of staking

No cycle on a licensed build may begin inside 2.5 seconds of its predecessor, a customer commits to each cycle separately, and automatic play is barred the pace floor and the autoplay bar, so two hundred turns cannot be spent in under 500 seconds. Eight minutes and twenty seconds is the grant, from the first turn to the two hundredth, at the fastest anybody may be permitted to run.

The staking attached to it is a different quantity of time altogether. Four hundred and eighty-three pounds fifty of turnover, at the 10p a turn this card has been spending, is 4,835 turns. At the same floor under a cycle that is three hours and twenty-one minutes. So the advertised thing takes eight minutes to use and the condition on it takes most of a morning, and the ratio between the two is about twenty-four to one, which is twenty-five times less whatever the reel keeps along the way.

Both of those are ceilings on speed rather than predictions about anybody. Nobody here has played anything and no figure on this card rests on an observation. What the pace floor gives is an upper bound on how fast a sum can cross a licensed reel, and an upper bound is the useful direction: a reader who takes longer has a longer session and the same arithmetic, while a reader who wants it over faster cannot have it, which is the one protection in this part of the rulebook that shows up as a number.

Put the two clocks beside the close and the offer reads differently. Three hours and twenty-nine minutes of play, taken together, produce an expected £3.43 where the staking is done on the title the turns ran on. That is about a pound an hour of expected close, against £20.00 of the operator’s stake crossing the reel in the first eight minutes and £483.50 of the reader’s crossing it over the three hours that follow.

8

What a count this size is actually buying

Collect it. Two hundred turns at 10p stake £20.00 and are expected to yield £19.34. Twenty-five times that yield is £483.50 of staking, which costs £15.91 and leaves £3.43. Discharged instead on a title published 0.64 points lower, the same grant leaves £0.34, so where the work is done is worth £3.09. Ten times, which is the most a British clause may ask, would have left £12.98, so the licence is worth £9.55 here. The grant takes eight minutes and twenty seconds to use and the staking takes three hours and twenty-one minutes. The win limit is £210.00, arrives once every 3,880,481 turns, and puts one penny into the £19.34.

Against all of that, the feature round contributes exactly nothing extra, and the reason is the cleanest thing on this card: the published return already counted it. Two hundred turns are worth twice what a hundred are worth and half what four hundred are worth, and there is no count at which the arithmetic improves because a round has become likely. What rises with the count is the number of draws against every rate the machine has, including the one rate it publishes, and what does not rise is the value per turn.

So the honest answer to what a count of this size buys is two hundred turns of a 96.71 per cent reel and a condition in the same breath. If the count is the thing a reader wants, it is twice a hundred and the price is a staking requirement that scales with it. If near certainty of the round is the thing a reader wants, the count cannot deliver it without a rate of one turn in sixty-seven, nobody publishes a rate, and the two figures in circulation are both well short of it. And if the largest outcome is the thing a reader wants, two hundred turns move the arithmetic from about 38,805 grants to one down to 19,402 grants to one, which is a real doubling of a very small number.

Nothing above describes a particular place of play. A grant of two hundred turns with twenty-five times attached to its winnings asks more than double what a British clause may, so a count of this size arrives from a cashier beyond the reach of any Great Britain licence, and the four duties in section four leave with it: the bar on a build compensating its own odds, the bar on changing rules or payouts part way through, the bar on a misleading design, the requirement to commit to each cycle separately, the £5 and £2 limits on what one cycle may take, and a place in the register of self-exclusions. The reel is the same reel on either side of that line. What is promised about it is not.