Over the long run: one rate, three dials, and the only one worth turning

1

One rate, carried from a press up to a year

Repetition is the subject here, so the arithmetic has to be set out at every scale a reader might recognise and not just at the one that flatters it. Two quantities do the whole job. Four pence stays behind out of every pound sent across a reel that returns ninety-six. Three hundred presses fit in an hour where one press is allowed twelve seconds, which is a convention adopted by this site and never held against a watch.

The bottom row is the one this section exists for. Two sittings a day for three hundred and sixty-five days is 267 h 40 min of attention, 80,300 presses, and a sum crossing the reels that nobody would recognise as their own spending, because it is the same float going round and coming back slightly thinner each time. What leaves is £321.20, and it leaves four pence at a time.

No column above forecasts an individual. Outcomes at ten pence scatter a long way either side, and a year is still not long enough for an average to describe anybody’s balance. The reason an average earns its place is narrower and it holds at every scale: it is the only figure that can be worked out in advance of the first press.

2

Three quantities, and the identical shape they share

Write the hourly figure as a product and the whole page follows from it. What an hour costs is the size of a press, multiplied by how many presses fit in an hour, multiplied by the share of each staked pound the reel keeps. Nothing else appears, and nothing that does not appear can change the answer.

Three dials therefore exist. The size of a press. The seconds allowed to one. And the margin, which is the pence per pound that fail to come back. Each enters the product once, which means each has exactly the same power over the result: double any one of them and the bill doubles, halve any one and it halves. Seconds run backwards against the other two, since more of them means fewer presses, and that is the only difference in form between the three.

Equality of power is the part everybody assumes and it is true. Equality of use is the part everybody assumes next and it is false, because a dial is only worth what it will actually travel and the three of them travel nothing like the same distance. Parts three to five do the comparison, which is the job this page has that none of the workings beneath it has.

One quantity conspicuously missing from the product is the balance. A larger float buys more presses before it is gone and alters no rate in the line above, which is why fifty times the money with the margin untouched comes out where it does. Another missing quantity is luck, which moves every actual outcome and none of the expected ones.

3

Where each dial stops, and whose hand is on it

A dial has three properties worth knowing before anybody reaches for it: how far it travels, who is permitted to move it, and what else moves when it does. Setting the three out in one table is the first half of the comparison.

Read the two stop columns together and the asymmetry is immediate. The press has a long upward run and almost no downward one, because a build that will not take less than 10p puts the dial at its stop before anybody arrives. The margin has a short run in both directions and the hand on it belongs to whoever wrote the build. Seconds have a floor at two and a half and no ceiling at all.

Upward travel is of no use to anybody here, which is why the table reads oddly at first. Every one of these dials makes the bill larger when turned up, so the only column that matters to a reader is the downward stop, and that column reads: no room, no room, and no limit.

4

What halving the bill asks of each one in turn

Abstract spans are hard to weigh, so the comparison is better put as a task. Take the hourly figure of £1.20 and ask each dial on its own to bring it to 60p, leaving the other two where they stand. Three answers come back and they are not of the same kind at all.

Each row reaches 60p an hour honestly and each pays a different price for it. The first keeps the evening the same length and shrinks everything inside it. The second keeps every prize intact and makes the evening quieter. The third changes nothing at all that a reader would notice, and that is precisely what makes it unobtainable: a build giving back ninety-eight pence in the pound sits above practically every published figure in this market, so the row describes a thing rather than a choice.

Two of the three therefore survive as real options and they differ in what they cost. Shrinking the press costs the size of the win, which is the thing most people came for. Lengthening the gap costs nothing but patience, and that distinction is the whole of the finding this page is built to reach.

5

Asking for the same saving a second time

One halving proves very little, because a dial can have exactly one good move in it and then nothing. The test that separates the three is asking for the same saving again, and then again after that.

Nought, one at the outside, and no limit. That is the comparison in three figures, and it settles a question none of the ten workings beneath this heading can settle on its own, because each of them holds two dials still while it examines the third.

No limit, one, and nought: the halvings left in three dials of equal power

Seconds win on availability rather than on strength. All three dials are exactly as powerful as each other, which part two establishes and nothing here contradicts. What separates them is that two run into a stop on the second move and the third does not run into anything. A reader who lengthens the gap from twelve seconds to ninety-six has divided the whole of this page by eight without changing the build, the stake or a single prize.

6

Twelve months of the habit, scaled three ways

Hours understate the case and a year is where the figures stop being negligible, so the same three dials are now put through 267 h 40 min of attention. Note what is being held still: the time spent is fixed, and only the cost of spending it moves.

Three columns stay still where two dials move and one column moves everywhere. The count of presses answers to the gap alone, since neither the coin nor the build decides how often a thumb comes down. The sum crossing the reel answers to the coin and the gap together. And the last column answers to all three, which is the definition of a product.

Every line leaves the origin and none of them bends, which says that a year is not a special quantity and nothing compounds. Twice the hours is twice the cost, and ten years of the same habit is ten times the figure rather than anything worse. What makes a year worth printing is not the mathematics but the size of the number: 44p a sitting is beneath notice and £321.20 is a holiday.

7

Two dials moved at once, and the diagonals that result

Each dial has been turned on its own so far. Turning two together is where the leverage is, and it also exposes a property worth carrying away: settings that look entirely different can produce the same bill, because the product does not care which factor supplied which part of it.

Three cells on that grid read £321.20 and they sit on a diagonal: ten pence every twelve seconds, twenty pence every twenty-four, fifty pence every minute. All three are the same year to a penny, and the three evenings they describe have almost nothing in common. One is quick and small, one is slow and substantial, and a reader who thinks of themselves as cautious because they press a small coin may be spending more than somebody pressing five times the coin at a fifth of the rate.

Hundred-fold spans turn up on a grid this ordinary, which is the other thing worth noticing. The top right cell is £64.24 and the bottom left is £6,424.00, from settings a reader can move freely between on the same build and in the same evening. Nothing announces that span and no figure on a lobby screen carries it.

8

Why the free dial is the one nobody turns

So the answer to the comparison is the gap between presses, on three grounds established above. It travels without limit. It costs nothing to move, taking no prize down with it. And of the three it alone is held outright by the reader, rather than within a build’s permission or a drafter’s choice.

Two things have to be said about that answer or it will be misread. The first is that lengthening a gap is not a strategy and buys no advantage: a quarter of the presses retains a quarter of the expected loss, and it retains exactly a quarter of the chances as well. The sum is smaller because less has been sent over the reel, which is the only mechanism available and is available to everybody.

The second is the floor at the other end. A British licensed reel waits 2.5 seconds from one game starting before the next may begin, and that floor is the only quantity on this page held in place by a rule. It is what puts £1,541.76 in the year table against £321.20 on the assumed interval, a factor of 4.8 between a lobby running as fast as the rule allows and one running at this site’s own convention. Nothing anywhere runs the other way: no rule requires a press to be made promptly, nothing penalises a reel left standing, and no part of the arithmetic objects to a slow hand.

A fourth quantity sits outside the product and is worth naming, because a handset moves it more than it moves anything else. The count of occasions in a day decides how many hours there are to price, and it is the figure a pocket actually changes. The dials above fix the cost of an hour; that one fixes how many hours happen.

9

Duties written about repetition rather than about a single bet

Builds and lobbies of the kind priced here run at businesses carrying no Great Britain licence over them. Duties that go missing on a page about the long run form a particular set: the ones aimed at a pattern of play rather than at any single press. Four are worth setting out.

Live display is the one with the sharpest bearing on everything above. A figure this page spends ten parts deriving is, on the licensed side, a thing the lobby itself has to put in front of a customer while they are playing, together with how long they have been at it. The same set of changes forbids an operator building functionality that lets somebody run several products simultaneously, which is a rule about how many clocks may be made to run at once.

Thresholds are the second. Once a month’s net deposits pass a figure, a light-touch check follows; the figure in question was a monthly £500 when it began on 30 August 2024, and a monthly £150 from 28 February 2025 onwards. Heavier assessments remain a pilot that is not operating live, and the regulator has said that a customer’s credit rating is untouched by either of them. A threshold counted per month is by its nature a rule about repetition and not about any one deposit.

Product design carries the third. Nothing licensed may be built to push somebody into recovering a loss, into a larger stake, into gambling past the figure they had settled on, or into continuing once they have said they are finished, and money already committed to a product may be replenished only where the customer chooses it afresh on each occasion. Each of those addresses the second hour rather than the first.

Setting that beside the offshore rulebook consulted for this network needs care, because on one point it runs the other way. Behaviour tracking, player self-assessments and deposit limits are all required there, and lowering a deposit limit happens immediately while raising one is made to wait a week, which is a longer pause than the single day imposed on the licensed side. Absent from it are any duty to display spend and time as they accumulate, any figure attached to a month of deposits, and the design rules in the paragraph above. The difference is not an absence of rules. It is which part of the year they point at.

10

Ten workings, and the question each one settles

The comparison settles which dial is worth turning. Which of the ten workings beneath this heading answers a particular question depends on which dial that question is really about.

Where the question is the rate itself, an evening priced in pounds an hour is the one to open, since it builds the figure from the press upward and prices seven sizes of coin against eight intervals. Where it is the size of the press, fifty times the money at an unchanged four pence in the pound takes the dial to its ceiling. And where it is the margin, the one published figure a build carries converts points of return into hours.

Three workings sort builds rather than price them, which is a different task with the same inputs. Twenty builds set in an order nobody prints runs the margin from one end of its published band to the other, five questions hiding inside one adjective shows the winner changing with the criterion, and the five quantities that will bear a comparison at all is the method page for anybody building their own order.

Where the unit of play is not a press, the product in part two has to be rewritten before it can be used. A room calling to a schedule replaces the interval with a timetable somebody else owns, and a dealt round as the smallest thing anybody can buy replaces it with a round length nobody at the table can halve. Both point the same way: where the gap belongs to the house, the free dial of part eight is no longer free.

Two remaining cases sit at the edges of the model. A pocket that multiplies occasions rather than speed is the fourth quantity from part eight worked out properly, and a figure with no pressing behind it yet asks how many presses it would take to know a margin to within a point, which is the question lurking underneath every figure in part six.

Where the question is a single clause rather than a year, the section that turns a matched payment into hours is the right place, and the section on getting paid covers what happens at the end of one. Where it is the method, every assumption is gathered in one place. Substitute a different interval and this page rescales in a single division, which is the reason the interval is printed rather than buried.