A free round no register reaches, and £5.80 of paid price that crosses the line unchanged

1

The £5.80 that reads the same either side, and the three quantities in it

All thirteen bills under this heading report one thing before they report anything else, and the board above is the thirteen reporting it together. What the same play costs when a reader funds it does not change when the seller changes. Across these thirteen keys that cost is £5.80, assembled from a count, what each round stakes and the share a machine gives back. No fourth ingredient exists.

Work it once and the point is plain. Twelve counts running to 665 rounds at the three stakes named here lay £135.00 of face on the reels; the thirteenth key advances £10.00 of credit, which a reader funding the same exposure would put across once. That is £145.00 of staking, the house keeps four hundredths of whatever is staked, and four hundredths of £145.00 is £5.80.

Not one term in that chain belongs to a licence, a register or a jurisdiction. A margin is a property of a machine, a stake is a figure a reader can see before committing, and a count is printed on the headline. So every bill here can set its paid number down flatly while hedging its free number with every qualification the heading carries, and that difference in confidence is itself a measurement.

What follows from it is the whole structure of this section. If one of the two columns is untouched by the question the keys ask, then whatever answer the question has must live in the other one. The £83.76 is where a staking demand bites, where a ceiling on that demand would bite if any applied, where a claim about a payout has to be made good and where a register would have had something to say. Part two takes those one at a time.

2

Why the whole of what a licence protects sits in the other £83.76

Four things stand between a free round on these keys and money a reader can spend, and every one of them is a question about the free column alone. The first is the staking demand: £139.60 arrives in balances across the thirteen and £55.84 of it is expected to go on satisfying a tenfold requirement. The second is whether any ceiling binds that requirement, which is part three. The third is whether the balance is paid out when asked for. The fourth is whether a register was consulted before any of it began.

Set those against the paid column and the asymmetry is exact rather than rhetorical. Buying 665 rounds and an advance’s worth of play costs £5.80 whoever sells it, settles the moment the reels stop, and leaves nobody owing anybody. The free side carries £83.76 that somebody else has to agree to hand over, after a demand somebody else wrote has been satisfied, under rules somebody else chose. Those are not two versions of one risk. They are a priced risk and an unpriced one standing in the same table.

The bill on the twelfth row puts it at its sharpest and the figures are worth repeating here. Sixty rounds at 25p cost 60p to buy, and the 60p is spent by the time the last reel stops. The same sixty taken free leave £8.64 standing in an account, and £8.64 is not money until a cashier moves it. One of those two numbers is a completed transaction; the other is a claim.

That is why this heading prices the free column so carefully and the paid column in one line. A reader who treats the two as comparable certainties has already made the error this section exists to name, and the error is not in the arithmetic: £83.76 is the right figure for what the free rounds are worth, and it is worth that much to somebody who gets paid.

3

A bound borrowed from a rulebook nothing here answers to, and which way it runs

Not one of the thirteen prints a staking demand, so the free column rests on the one number anybody has actually published, and that number is British: under the licence here the staking asked of bonus funds may not pass ten times those funds, effective 19 January 2026 off the rule sheet. The figure is used here as a published outer edge and as nobody’s term, and this heading carries the sharpest possible reason for saying so, since the keys above it are keys about sellers that licence does not reach. The footing wants naming too. What the wording covers is bonus funds, so a count’s winnings fall under it from the moment they are credited as such off the rule sheet, and nothing published settles whether a free round is funds of that description at all.

Which way that edge bounds the answer is worked below rather than taken from a summary. Hold the £139.60 and the return fixed; let the demand be the only thing that moves. With nothing asked, the balances survive entire and £145.40 lies between the columns. At five times the bracket shuts to eight tenths, £111.68 remains and £117.48 lies between them. At ten times it shuts to six tenths, £83.76 remains and £89.56 lies between them.

So each further turn of the demand is paid for by the balances, and the remainder left to stand against the cost of the rounds dwindles accordingly. Ten times marking how far a British licence goes, it hands back the thinnest free column that law would allow and draws the two columns as near as that law would let them. Within such a licence every figure here would be a least. The statement that can honestly be made on these keys is narrower, since no licence of the sort applies: £89.56 is what the published edge reads, and a demand of twenty times or of sixty, forbidden by nothing on any of them, leaves a great deal less. A demand of twenty-five times brings the bracket to nought at the 96 per cent worked here, leaving nothing in the free column and only the £5.80 of paid cost between the two.

The bracket holds two quantities nobody printed, and they do not lean the same way, which is how writers come to swap one for the other. Weight is read whole, the most generous setting the expression has, since any smaller share leaves less standing. The multiple is read at the British edge, which within that licence is the least generous setting available and beyond it is a figure this publisher chose and has said so.

4

The £2.32 of British duty standing inside the £5.80 of paid price

The paid column is the quantity that crosses this line without altering, and the sharpest thing about it runs the other way: a large part of it is British. Remote gaming duty attaches to the gaming profit a provider makes out of play by a customer ordinarily resident in the United Kingdom; since 1 April 2026 the charge has been two fifths of that profit; and the party owing it is the provider off the rule sheet. Scope does not stop at a border either. A provider sitting abroad owes the duty on what it takes from a player here, licence or no licence off the rule sheet.

The arithmetic joins up exactly, because the paid column already is the quantity the duty is charged on. A provider’s gaming profit is what it receives in stakes less what it pays out in winnings, and across these thirteen keys that is £145.00 staked against £139.20 returned, which is £5.80. Forty per cent of £5.80 is £2.32. On the thirteenth row alone, where forty rounds of 50p cost 80p in expectation, the duty is 32p of that 80p.

Set beside everything else on this heading, that single figure is the most useful thing a reader can carry away from it. The British state reaches the seller’s revenue from a British player and takes 40 per cent of the expected margin. What it does not reach is the £83.76, the staking demand standing over the £83.76, the question of whether the £83.76 is ever paid out, or the register that would have been consulted first. A duty travels with the player and the protections do not.

Two cautions keep that honest. The duty is a charge on a business and not a deduction from a reader’s balance, so the £5.80 is what the play costs and the £2.32 is a share of it going to the Exchequer rather than an extra cost. And £2.32 is an expectation over £145.00 of staking rather than a prediction about any afternoon.

5

What a signature stops reaching, measured against £83.76 rather than described

Describing a missing protection means describing the protection first, which is how a section like this one gets written in somebody else’s words. The way round it is to put a figure against each one, because the figures belong to these thirteen bills and to nothing else. Four protections are worth that treatment and all four bear on the free column.

One of those rows deserves its figure spelled out, since it is the only protection here whose absence has a price of exactly nought or exactly everything. A register either stops an account being opened or it does not. Where it does, the free column is not reduced: it never exists. Where it does not, the free column is £83.76 and every other question on this board applies to it in the ordinary way.

6

Twelve counts and one advance, and a third quantity on one row of the board

One of the thirteen is built differently from the other twelve and the difference is in the first letter of the house expression, E = B × (1 − W × (1 − RTP) ∕ g). B is what lands in the account. A count’s rounds have been through a machine before any demand arrives, so their margin is already spent and £135.00 of face across the twelve leaves £129.60 of balance. An advance has been through nothing, so £10.00 of credit is £10.00 of balance. Six tenths of £129.60 is £77.76, six tenths of £10.00 is £6.00, and the two make the £83.76.

The same distinction decides what the paid side funds on that row. The advance is priced against a reader putting the identical £10.00 across once, which costs 40p and gives a distance of £6.40, rather than against the £100.00 of staking the demand orders. Pricing the larger play on one side would answer a different question and produce a tidier number, which is a reason for suspicion rather than for confidence.

A third quantity appears on one row and on no other, and it belongs in the open because it moves what a reader has at stake without moving either price. One key reaches its count behind a £10.00 deposit. Within a British licence a deposit balance is the one balance no term is allowed to put a maximum on. Beyond it the deposit stands in the exposed column beside the free finding, so what waits on somebody else’s decision is £20.08 rather than £10.08, while the two prices on that row stay £10.78 apart.

That is the one place on this board where the deposit side of a key matters to the reading, and it matters to the exposure rather than to the distance. A reader comparing these thirteen on the strength of what they are worth has the board above; a reader asking what is at risk while a demand runs has to add whatever they put in, and on twelve of the thirteen rows that is nothing at all.

7

How the £89.56 was added, and why nothing at all stands outside it

Thirteen numbers came up from thirteen bills, each as that bill’s instrument finishes it, and each went into the column whole. In the order of the board: £3.08, £1.54, £4.62, £15.40, £3.85, £2.31, £6.40, £10.78, £5.39, £6.93, £7.70, £9.24 and £12.32. The total is £89.56, and every one of the thirteen is an exact number of pence, so no rounding enters anywhere and the printed figures and the exact figures are the same figures.

Down the instrument the answer repeats. £145.00 of staking on the paid side hands £139.20 back, costing £5.80. On the free side £139.60 arrives with nothing deposited and the published edge removes £55.84, leaving £83.76. £83.76 beside £5.80 is £89.56. A reader who prefers one road to the other need take neither on trust.

Nothing is set back off the measure and nothing waits. All thirteen findings are sums of money, none reports a rate where a sum belongs, none reports a count that no sum will hold, and every bill under this heading has reported. The closing figure therefore covers every row of its own board, which happens by construction rather than by luck: thirteen keys about one absence yield thirteen findings of one kind.

One proportion is worth printing beside the total. £89.56 against £145.00 of face and credit is 61.8 pence of distance for each pound of it. Twelve of the thirteen rows give exactly 61.6 pence a pound, being counts worked at one return and one demand, and the advance gives 64 pence a pound, a credit having paid no margin on its way in. The whole heading sits between the two because twelve rows of one kind and one of the other are what it is made of.

£145.00 of face and credit across thirteen reported findings, worth £83.76 at the published edge and costing £5.80 bought outright, so £89.56 of distance, of which £2.32 is duty owed in Britain on the paid side

8

Three stakes across 665 rounds, and where the £89.56 goes from here

Two units carry every finding here, money and the rounds a reader actually plays, and the second stands against each row of this board and beneath none of them. Three stakes made those counts: ten pence on four rows, twenty-five pence on seven and fifty pence on one this section’s own figures, with a fourteenth count on the advance row arriving from a stake chosen here rather than from the offer. Fifteen rounds of distance is £3.85 at twenty-five pence and would be £1.54 at ten, so a sum of the second column would be three quantities under a single name, and nothing would convert that sum into money again.

Per row no division is wanted anywhere, which is worth saying because it makes the second unit exact. Take any of the twelve counted rows, multiply its count by 0.616, and the answer is that row’s distance in rounds: fifty rounds yield 30.8, a hundred and twenty-five yield 77, forty yield 24.64. Across the heading the unit drags a condition behind it. At twenty-five pence a round throughout, £89.56 would be 358.24 rounds, which is a sentence about one stake and not about thirteen offers priced at three.

The two assumptions move the total unequally. A stake multiplies the twelve counted rows and leaves the advance alone, so halving every stake closes the thirteen at £47.98 and doubling every stake closes them at £172.72, with £6.40 of the figure immovable because credit is credit at any stake whatever. A return touches everything and touches the free side twice over, deciding what comes back off the reels and then deciding what the demand has to eat into: at 94 per cent the thirteen close at £63.46 and at 97 per cent at £103.02.

What survives both is the proportion, and where nobody publishes a stake it is the only thing left to use. Six tenths of a balance on one side against four hundredths of a face on the other puts a counted row at 14.4 against 1. Neither a stake nor a currency sits inside that figure, and a register alters it on neither side of this line.