Two hundred presses as a timetable, and the quantity nobody ever holds

1

A quantity nobody is ever in possession of

Start with the figure as printed. Two hundred presses, priced at the 10p this site puts on one, buy £20.00 of turnover. A 96 per cent rate leaves an expected £19.20 of that behind, against a qualifying payment of £10.00. Read that far and the arrangement looks straightforwardly good, which is why the count goes on the banner and the rest does not.

The rest is a timetable. Offers of this size are ordinarily paid out in parts rather than handed over whole, and the parts arrive on a schedule written into the promotional conditions. The consequence is easy to state and surprisingly hard to notice: two hundred is a number nobody is ever in possession of. It is a total of ten separate smaller quantities, most of which do not exist yet at any given moment, and some of which will never exist at all.

That distinction between a quantity and a timetable is the whole of this leaf. A quantity sits in an account and waits. A timetable asks somebody to be present on a set of occasions, and presence is a thing that fails. Nothing about the failure is unusual or anybody’s fault, and the arithmetic does not care whose fault it is.

So the sorting runs as follows. The count of two hundred and the qualifying payment of £10.00 are settled on the banner. The pattern the count is released on is settled in the promotional conditions, usually in a single line with a number and a period in it. What a press is worth is nowhere in writing. What the smallest payment out of the account will be appears first at the cashier, and what documents are wanted before money leaves appears first on the way out.

One figure is worth putting down at the start because everything else is measured against it. If every press is made, the promotion costs the house the gap between £20.00 of turnover and £19.20 of expected residue, which is 80p. Eighty pence is what two hundred presses are expected to cost whoever is handing them out. Parts three to six are about what a timetable does to that 80p.

2

The release pattern worked here, declared before it is used

Nothing citable here sets out a standard release pattern, a standard instalment size or a standard window, and none of the three is invented as a fact. What follows is an explicit assumption, stated once, carried through every sum on this leaf, and labelled again wherever a figure depends on it.

The pattern assumed is twenty presses a day for ten days. The first instalment lands when the qualifying payment clears. Each later instalment lands at the same hour on each of the nine following days. An instalment stays available for twenty-four hours from the moment it lands, and anything left in it when that window closes is gone rather than carried forward. Nothing here is a report about any live offer.

That shape is chosen because it is the simplest arrangement with the properties worth pricing: equal parts, a regular interval, a window that is shorter than the whole, and no carry-forward. A reader meeting a different pattern can rework every figure below by substituting their own instalment size and window, and part six sets out three other patterns for comparison.

Two of those rows do more work than the others and they are the two a banner never carries. The window decides whether an instalment can be lost at all. The carry-forward rule decides whether losing one is permanent. Set the window to the length of the whole run and give unused presses a carry-forward, and the timetable becomes decoration. Set it as assumed here and the timetable becomes the most expensive line in the conditions.

3

What one day’s instalment is worth

Twenty presses at 10p produce £2.00 of turnover. At 96 per cent they are expected to leave £1.92 behind, and they cost the house 8p in expectation. That is the real unit of this promotion, and it is a tenth of the unit the banner names.

Ten of those units, every one of them taken, reassemble the advertised arrangement exactly: £20.00 of turnover, £19.20 expected, 80p of expected cost. Nothing is lost by instalments in themselves. The loss arrives only where an instalment is not collected, and the timetable’s entire effect runs through that single mechanism.

It is worth sitting with the size of the daily unit for a moment, because it explains the design. A reader shown £1.92 as a daily expectation would weigh it against the trouble of opening an account, logging in and spending ten minutes at it. A reader shown two hundred presses weighs something else. The two descriptions are of the same arrangement, and one of them is ten times larger than anything that actually happens on a given day.

£2.00 of turnover a day against a banner figure of £20.00

That ruler is this leaf’s central measurement, and it measures a ratio instead of a sum. Ten to one, between the advertised quantity and the largest holding. On a schedule of twenty instalments the ratio would be twenty to one. The ratio is set entirely by the number of parts and not at all by the size of the offer, which is why a larger headline count tends to come with a longer timetable rather than a bigger daily unit.

4

The price of a single instalment that goes unclaimed

One missed day costs twenty presses, which is £2.00 of turnover and £1.92 of expected residue. Put beside a banner promising two hundred, that is a loss of exactly one tenth, and one tenth of £19.20 is the cleanest figure on this leaf.

Missing is easier than it sounds under the assumed window. An instalment landing at a fixed hour and expiring twenty-four hours later gives a reader one chance per calendar day, with no banked slack. A day away from a connection, a day of work running long, or simply a day of forgetting removes a tenth of the offer and cannot be made up afterwards, because nothing carries forward.

The last column is a straight line and that is worth noticing. Each lapsed instalment costs £1.92 and they do not compound, because the presses are independent of one another and none of them is a condition on any other. A timetable of this shape is not a trap with a catch in it. It is simply a quantity divided by ten, with ten chances to lose a tenth.

Expected residue, as the count reads £19.20 With seven instalments of the ten collected £13.44 Cost of three days nobody mentioned £5.76

Seven instalments in ten is an illustration chosen by this leaf and measures nothing at all. It earns its place by being plausible and by producing £5.76, which happens to be the figure a reader can check against the table: three lapses at £1.92 apiece. Any other attendance can be read straight off the same rows.

Here is the same arithmetic from the other side of the counter, which is the version that explains why timetables exist. Every press made costs the house 80p across the whole count and 56p across seven instalments. A pattern that loses three tenths of the presses reduces the expected outlay by 24p, or thirty per cent, and leaves the number on the banner exactly where it was. That is the commercial function of a release schedule stated in one sentence.

5

Why a run of occasions can lapse where a sum cannot

A quantity has one way of failing. It expires, once, at a stated moment, and until that moment it sits there whatever anybody does. A run of occasions has one way of failing per occasion, and the ways are independent of each other.

Give that a figure. Suppose a reader turns up for any given instalment nine times in ten, a rate this leaf picks for illustration and does not claim to have observed. Applied to a single grant with a single window, that rate leaves a ninety per cent chance of collecting the whole thing. Applied to ten separate windows it is 0.9 multiplied by itself ten times, which is 34.9 per cent. The same reliability, the same person, the same count, and a collection rate that has fallen by nearly two thirds.

Every figure in the right-hand column is the figure in the middle column raised to the tenth power, and the two rates in the first row are this leaf’s own settings rather than anybody’s measurement. The column exists to make one structural point: splitting a count into parts multiplies the ways of losing it, and multiplication at exponents of ten turns a small weekly nuisance into a dominant effect.

The expected residue behaves more gently than the all-or-nothing column, because partial collection still pays. At a nine in ten rate the expected number of instalments collected is nine, which is £17.28 of expected residue rather than £19.20. So a reader who asks what they will probably end up with should look at the first column of the table in part four, and a reader who asks whether they will get the advertised offer should look at the right-hand column here. The two questions have very different answers and the banner answers neither.

There is one further asymmetry and it is the reason this part exists. A quantity can be collected late. A sequence cannot be collected late, because each part has a window of its own and the window has nothing to do with the rest. Time is a condition that only a timetable can impose, and a timetable is only ever written in the conditions.

6

Four timetables a figure of this size can carry

A count of two hundred on a banner is consistent with a wide range of timetables, and the banner gives no way of telling which. Here are four, each a shape that recurs, each priced on the same count and the same press value, and all of them this leaf’s own illustrations rather than reports.

The first row is the arrangement a reader imagines and it is the only one where the banner figure describes a holding. The second is the one this leaf prices. The third spreads the same count over a longer period with fewer occasions, which is gentler on attendance and harder on patience. The fourth is a different kind of offer altogether wearing the same headline.

That fourth row deserves the sharpest sentence on this leaf. Where each instalment after the first is unlocked by a further payment, the qualifying figure on the banner is £10.00 and the figure needed to collect the advertised count is £100.00. The count has not changed. The payment has been multiplied by ten, and the only place that is said is in the conditions.

Turnover the advertised count implies at once £20.00 Largest quantity the timetable puts in the account £2.00 Turnover existing only as a future entitlement £18.00

Eighteen pounds is the second number this leaf exists to print, and it is a different kind of quantity from the £5.76 in part four. The £5.76 is money expected to be lost. The £18.00 is money that exists only as a promise about future days, every one of which has its own window and its own way of lapsing. A reader holding £2.00 and an entitlement to £18.00 more is in a different position from a reader holding £20.00, and the banner describes the second one.

7

Ten pounds committed at the start against a benefit reaching day ten

The qualifying payment is the reader’s own money and it does not vanish. It does, however, get committed on day one, while the thing it qualifies for arrives in tenths over the following nine days. That mismatch deserves a sentence of its own because no part of the banner addresses it.

Set the two schedules side by side. £10.00 leaves a bank account once, at the start. £1.92 of expected residue arrives per day, ten times, if every instalment is collected. By the end of day one the reader has paid £10.00 and holds an expectation of £1.92. By the end of day five they hold £9.60 of expectation against the same £10.00. The arrangement does not reach parity until somewhere inside day six.

That matters for a practical reason rather than a theoretical one. A deposit sitting in a gambling account for ten days is a deposit available to be staked for ten days, and the timetable supplies a reason to open the account on each of those days. Nothing in the conditions requires the deposit to be played. The schedule simply puts a person in front of it, ten times, which is the one effect a single grant of two hundred presses would not have.

There is a second consequence at the exit. Whatever residue the presses leave is mixed with whatever remains of the £10.00, and the smallest sum the account will release is settled at the cashier rather than in the promotional conditions. A balance assembled a pound at a time across ten days meets that floor later than a balance assembled in one sitting, and in the meantime the only thing available to do with it is stake it.

None of this requires anybody to have intended it. A timetable that reduces the expected outlay by thirty per cent, keeps the headline figure intact and puts a person in front of their own deposit ten times is a good piece of commercial design, and it is written down in full in a document anybody may open.

8

Where a timetable is published and what a banner can carry

A banner has room for a count, a payment and a denial. It does not have room for a timetable, and that is a fact about typography before it is a fact about anybody’s intentions. Two hundred presses for £10.00 fits in six words. The pattern those presses arrive on takes a sentence with four variables in it.

So a timetable is always in the written conditions and never on the face of the offer. That is the firmest generalisation this part of the site can make about any term, and it holds for a structural reason rather than a behavioural one: a count is one number and a schedule is a function.

The third row is the one that catches people. An account screen is honest and current and tells a reader exactly what they hold, which is £1.92 of expectation. It does not tell them how many instalments remain, when the next one lands or what happened to the one they missed, because those are properties of the schedule rather than of the balance.

The fourth row is in the table for completeness and because it is the one surface that settles nothing here. What the public register holds is who may lawfully run gambling in Britain and which activities a licence covers. It has nothing to say about instalments, which is worth stating plainly on a site that keeps pointing at registers: a register answers one question well and is silent on everything else.

This leaf’s own measure of distance follows from the same observation. The useful unit here is not how many documents away a condition sits but how many separate occasions it asks a reader to turn up for. One number on a banner becomes ten appointments in a document, and the gap between one and ten is where £5.76 of the £19.20 goes.

9

The timetable a British licence would have put on the account

A promotion paid out in instalments like this one holds no Great Britain licence. Where a leaf’s subject is a schedule, the losses worth naming are themselves periods, and a licensed account would be running several nobody advertises. Every item below is a length of time.

Hold those periods against the ten days in part two. The offer’s own timetable asks for attendance on ten consecutive days. The licensed timetable asks, in the opposite direction, for a pause before a limit rises, a prompt twice a year and a default that has to be refused rather than chosen. Strip the second timetable out and the first one runs on its own, which is what the pattern priced on this leaf actually is.

Nothing in that paragraph is a claim about what any particular operator does. It is a claim about which clocks have a rule behind them and which have only a promotion behind them, and on an offer outside the British licence the answer is that the promotion’s clock is the only one with anything compelling it.

10

Three questions to put to any count released in parts

Three questions settle a timetable, and all three are answerable from the written conditions in about a minute. They are set out here in the order that makes the arithmetic quickest.

How many parts. This gives the daily unit and the ratio in part three straight away. Two hundred over ten is twenty presses, £2.00 of turnover and £1.92 of expectation a day, and a ten to one gap between the advertised figure and anything held.

How long each part lasts, and whether anything carries forward. This decides whether a missed occasion costs a tenth or costs nothing. A window equal to the whole run with carry-forward makes the schedule cosmetic. A window of a day with no carry-forward makes each occasion a separate chance to lose £1.92.

What unlocks each part. If the answer is time, the arrangement is the one priced here. If the answer is a further payment, the qualifying figure on the banner is a tenth of the figure needed, and £10.00 becomes £100.00 without the count changing at all.

Run those three against this offer and the whole of it comes out in six figures. £10.00 paid in, £20.00 of turnover advertised, £19.20 expected if every instalment is taken, £2.00 held at the most at any one moment, £13.44 expected at seven instalments of ten, and £5.76 of difference between what the count implies and what the timetable delivers. Five of those six are settled in a document the banner does not display.

The honest close is that none of this makes an instalment offer a bad one. Two hundred presses for £10.00 with no play-through written over the residue is a better arrangement than most things in this corner of the market, and £13.44 of expected residue on a £10.00 payment is still £13.44. The point is narrower and entirely about reading: the number on the banner is a total, the number in the account is a tenth of it, and one sentence in the conditions, carrying four variables, stands between the two.