Offers that are not rounds at all, and £560.00 of distance across twelve advances

1

A sum of money where the rest of the domain has a count of rounds

Seventy-six keys across this domain begin with a count of rounds and have to be turned into money before anything can be said about them. These twelve begin with the money. An advance of £25.00 is £25.00 whatever a round is worth, whatever a machine returns and whoever is staking, and that single difference changes the arithmetic at both ends.

At the front end it removes an assumption. A count of rounds cannot be priced without a stake value, and no rule anywhere obliges anybody to publish one, so every page on this domain that opens on a count is spending a figure this publisher supplies. An advance needs no such figure to be valued at all: £875.00 of credit is £875.00 before any assumption is made about anything.

At the back end it puts the assumption back, but only for the second unit. A reader counts in rounds, so each of the twelve guides divides its own finding by a stake and reports a count beside the sum. Those counts are honest per row and will not add, and part seven is why.

The third consequence is the one that gives this heading its name. A sum of credit has not been through a game. A count of free rounds has: the rounds stake themselves, the reels take their margin, and what lands in the balance has already had the return applied to it. Credit arrives as a number in an account with nothing having happened to it. Treat the two alike and the arithmetic goes wrong in exactly one place, and that place is part two.

2

Where the ceiling lands on an advance, and why the return is applied once

Every page on this domain works its balance through one expression, E = B × (1 − W × (1 − RTP) ∕ g), and the whole of what is special about this heading sits in the first letter of it. B is what reaches the player as a balance. For a count of rounds B is the stake multiplied by the count and again by the return, because the rounds have been played and the margin is already out of them. For an advance B is the advance, flat, because nothing has been played yet.

Worked on the £875.00: W is ten and the qualifying weight is read at full weight, so the second term of the bracket is ten times four hundredths, which is four tenths, and the bracket closes at six tenths. Six tenths of £875.00 is £525.00. The staking takes £350.00, of which £35.00 is the first crossing and £315.00 the nine after it.

The wrong version of that sum is worth printing because it is the natural mistake and it is a large one. Treat the advance as though it had been through a game, multiply £875.00 by 96 per cent first and then by six tenths, and the answer is £504.00 rather than £525.00. The error is £21.00 across this heading, it is four per cent of the free column, and it is the return charged twice to a sum that no machine has yet touched. A reader can check which version is right without trusting either: a credit of £5.00 under ten turnovers is worth £3.00 and not £2.88, because the £5.00 is what arrived and not what came back out of something.

The margin is charged once, on the way through, and it is charged on everything staked. Ten crossings of £875.00 is £8,750.00 of staking, four hundredths of which is £350.00, and £875.00 less £350.00 is £525.00. That is the same answer reached by a second road, which is why both roads are printed.

3

The payment and the advance are two columns, and £48.00 of error in adding them

Four of the twelve name both a payment and the advance it draws: £25.00 drawing £25.00, £25.00 drawing £50.00, £15.00 drawing £45.00 and £10.00 drawing £40.00. That is £75.00 of a reader’s own money against £160.00 of credit, and on a screen the two arrive as one balance reading £235.00. The remaining eight name the advance alone, and three of those say in terms that nothing was paid in at all.

A condition bites on the advance. It does not bite on the money a reader paid in, which was theirs when it arrived and stays theirs. So the two have to stand in separate columns, and a head that let them merge would apply a ceiling to a sum half of which was never advanced by anybody.

The size of that error is worth having as a figure rather than as a caution. Across the four matched rows the honest free column is six tenths of £160.00, which is £96.00, and the honest distance is £102.40. Run the same arithmetic over the £235.00 showing on the screen and the free column reads £141.00 and the distance reads £150.40. The overstatement is £48.00, which is £75.00 of a reader’s own money valued as though somebody had advanced it.

The error shrinks as the ratio climbs and it never changes sign. On an even match the payment is half of what the screen shows; at two hundred per cent it is a third, at three hundred a quarter and at four hundred a fifth. So the offer with the smallest headline is the one where mistaking the balance for the advance costs a reader most, and the offer with the steepest headline is where the two numbers are closest together.

4

What a headline percentage actually decides, which is not the turnover at all

A ceiling of ten turnovers is a ceiling on a multiple and not on a percentage, so a steeper headline does not buy a lighter condition. It buys a larger advance, and a larger advance under the same multiple owes proportionally more staking. On the four matched rows the required staking is £250.00, £500.00, £450.00 and £400.00, and in every case it is ten times the advance exactly.

Divide that staking by what the reader actually put up and the headline reappears as something a reader can feel. An even match asks ten times the payment in staking. Two hundred per cent asks twenty times it, three hundred asks thirty and four hundred asks forty. The multiple on the advance never moves off ten; the multiple on the reader’s own money is the headline percentage in another costume. Across the four, £1,600.00 of staking stands behind £75.00 of a reader’s money, which is 21.3 times it.

That is the finding this heading exists to print and no guide beneath it can reach, because it only appears when four percentages are read in one column. The arithmetic is two divisions and no assumption: the staking is ten times the advance by the terms of the ceiling, the advance is the percentage times the payment by the terms of the offer, and the two composed give the figure above.

One caution belongs with it. Whether a requirement to stake the payment through as well as the advance falls inside the ceiling is not published, and the published wording is about the advance off the rule sheet. Where terms ask for both, the staking owed is larger than the figures above and this section says so without striking a second total, an invented one being worse than a stated absence.

5

Why £560.00 is the least these twelve advances beat staking the same sums

Not one of the twelve publishes a turnover condition of its own, so the free column stands on the British ceiling and is labelled as a ceiling throughout. The direction that bound runs in has to be derived rather than taken on anybody’s word, so here is the same £875.00 under three conditions. Asked for nothing, the advance survives whole and the distance is £875.00 plus the £35.00 the paid side costs, which is £910.00. Asked for five turnovers, the bracket stands at eight tenths, the free column is £700.00 and the distance is £735.00. Asked for ten, it stands at six tenths, the free column is £525.00 and the distance is £560.00.

The free column therefore falls as the condition rises, and the distance falls with it, because a heavier condition charges more margin against the same advance and leaves less of it standing. Ten turnovers is the heaviest condition that may lawfully be required, so it produces the smallest free column available under the law and the narrowest distance. £560.00 is accordingly the least these twelve beat staking the same sums by, and a real condition under the cap leaves them better rather than worse.

Two unpublished quantities sit in that bracket and they bound in opposite directions, which is the pair most easily swapped by accident. Read at full weight, the qualifying share is as generous as the expression can be made, since a lower share leaves less behind: at three tenths of a pound counting per pound staked, the only contribution rate this site’s rule sheet carries off the rule sheet, ten turnovers behaves like a condition far above the cap and the whole £875.00 is expected to be gone. The turnover count read at the ceiling is the harshest reading available. This section takes the kind direction for the weight and the harsh one for the count, says so in both places, and prints the point where it runs out: at twenty-five turnovers the bracket reaches nought and the free column is nothing at all.

£875.00 of credit across twelve advances, worth £525.00 under ten turnovers and costing £35.00 staked as a reader’s own, so £560.00 of distance and £8,750.00 of staking behind it

6

How the £560.00 was added, and two rows carrying a condition it cannot show

The twelve findings under the board are the twelve each guide reported, lifted off its own instrument and added without rounding. Every finding here is a sum of money, so all twelve enter the total, no row is set back off the measure, and no guide beneath this heading is still to report. The addition also reconciles down the columns rather than only across the rows: £875.00 of credit less £350.00 of margin is £525.00, and £525.00 beside the £35.00 the paid side costs is £560.00 to the penny. There is no rounding anywhere in it, every advance being a whole number of pounds.

Two of the twelve carry a condition their figure cannot show, and a head quoting the figures without the conditions would be quoting them wrongly.

The first is the bingo joining credit. Its £22.40 prices £35.00 spent on reel games and says nothing about the same £35.00 spent on tickets, because the quantity the arithmetic needs there is a share returned for every pound staked, nobody publishes one for a bingo room, and no rule obliges anybody to. That is not a figure withheld. It is a property of a single game rather than of a product, so a published figure would not stay put even if one existed. The row therefore stands in the £560.00 as a reel-side figure, and the ticket side of that offer is unpriced in this section as it is on its own page.

The second is the £20.00 advance. Its £12.80 is struck before any ceiling on what the advance may yield, and no usual figure for a ceiling of that kind is published anywhere this site can reach. Where terms do publish one and it falls below £12.00, that published sum replaces the free column outright and the distance shrinks with it. So the £12.80 is a figure with one more condition over it than the other eleven, and it is in the total because it is a sum of money and flagged here because it is a conditional one.

Nothing else stands outside the closing figure. Twelve rows were added, none was left out, and the one quantity deliberately withheld from any addition is the count of rounds beside each row.

7

Five stakes wearing one unit, and why no count stands under the board

A reader hands over money and plays in rounds, so each guide says its finding in both units. The second saying is a division by a stake, and the stake is this publisher’s own figure rather than anything read off an offer. Across these twelve, five different stakes were used: twenty-five pence on three rows, twenty pence on five, thirty pence on one, ten pence on two and a whole pound on one this section’s own figures.

So the counts in the fourth column of the board are five unlike quantities sharing a name. A hundred and sixty rounds at twenty pence is £32.00 and a hundred and sixty rounds at a pound is £160.00, and adding the twelve counts would produce a number that no single stake converts back into money. It would look like one quantity and behave like five, which is the fault the instrument on every bill of this domain was built to refuse.

A pound has no such difficulty. The money column adds because a pound is a pound whatever stake divided into it, which is why the closing figure under the board is a sum and why the sentence beside it says in words that the counts were not totalled. A reader can check that claim against the rows above rather than taking it from a footnote.

The honest version at section scale is conditional and is written that way. At twenty pence a round throughout, £560.00 of distance would be 2,800 rounds. That sentence is true of one stake and not of these twelve offers, five stakes being in play, and printing it without the condition would be the same error in friendlier clothing.

8

The £8,750.00 of staking that no headline in this family prints

Ten crossings of £875.00 is £8,750.00 of staking, and that figure is the one thing every headline in this family leaves out. A reader offered £10.00 of credit is being offered £100.00 of required play, and a reader offered £500.00 is being offered £5,000.00 of it. The advance is the part printed in large type and the staking is the part that decides whether the advance is reachable at all.

Reachability is a separate question from value and this section does not pretend to settle it. What the arithmetic says is what an advance is expected to come to once the staking has been done; what it cannot say is how often a balance runs out before the staking is finished. Those are two different claims and the second needs a distribution rather than an expectation. So £525.00 is the expected survival of £875.00 across £8,750.00 of play at the margin assumed here, and a particular afternoon is not an expectation.

Two further lines of terms can take the £525.00 down and neither is the turnover condition. A ceiling on what an advance may yield cuts the top off whatever survives, which is the condition flagged on the tenth row above. And a contribution weight below full weight means a staked pound discharges less than a pound of the obligation, so the same ten turnovers takes more play to satisfy and leaves less standing. Neither figure is published behind any of these twelve, and this section names both absences rather than filling them.

The last thing worth carrying away is the ratio, because it holds whatever the sums are. Under ten turnovers at the margin assumed here, an advance is worth six tenths of itself and staking the same sum costs four hundredths of it, so the distance is sixty-four hundredths of the advance. £875.00 times sixty-four hundredths is £560.00, and the same fraction applies to £5.00 and to £500.00 without alteration. A reader who remembers one number from this heading should remember that one.