how it is drawn The draw is a physical event with a record. Balls, machines, ball sets, tests and an adjudicator, run on a schedule - not a random-number generator inside a game. The draw page is about that apparatus and what a player can and cannot check.
Draw Desk / Overview
The draw, and the ticket in it
A ticket is a chance in an event, not a bet on a result
A sports bet names an outcome and a price. A number draw does something different: it sells a ticket into a scheduled event whose odds are published in advance, whose prize fund is a declared percentage of every ticket sold, and whose tiers are either printed sums, funds split among their winners, or money carried forward when nobody wins. That is the whole subject of this desk - the ticket, the draw itself, the arithmetic of the tiers, and where the money from a ticket actually goes.
Draw ticket
- Sheet
- DD-57-01
- Subject
- The draw and its ticket
- Format used throughout
- six numbers of fifty-nine
- Cost of a ticket
- a price, per draw
3 tiersA printed sum: the rules state the amount, and it pays whoever matched, however many that is
1 tierA split fund: a declared share of the prize fund, divided among the lines that matched it
1 tierCarried forward: an unwon share of the fund moved into a later draw instead of paid
- Match 6 of 6Every number drawn, on one line1 combination · 1 in 45,057,474carried forward
- Match 5Five of the six numbers drawn318 combinations · 1 in 141,690a split fund
- Match 4Four of the six numbers drawn20,670 combinations · 1 in 2,180a printed sum
- Match 3Three of the six numbers drawn468,520 combinations · 1 in 96a printed sum
- Match 2Two of the six numbers drawn4,392,375 combinations · 1 in 10.3a printed sum
- Any prize (3 or more)The three tiers above it, combined489,509 combinations · 1 in 92the whole ticket
Read the verdict column before the prize. Six rows for a six-of-fifty-nine draw, and the amount of each is set one of four ways: three tiers are a printed sum the rules state and pay whoever matched, one is a declared share of the prize fund split among its winners, one is carried forward when nobody wins it, and the last row is the whole ticket - the chance of taking something rather than nothing. Three of the six amounts are knowable before a ticket is bought and one is not, which is the column a reader can act on.
Direct answerA number draw sells tickets into a scheduled event. Each ticket is a set of numbers whose odds of matching each published tier are fixed and calculable, the ticket price is split by declared percentages between a prize fund, the operator and the state or good causes, and the tiers are either a printed sum, a fund split among the winners of that tier, or money carried forward to a later draw when nobody wins it.
A ticket, not a betOdds published, not quotedThe fund is a declared splitThe ticket is the claim
Why a desk about a draw exists at all
The other desks in this series read the machinery around a wager: the rail a deposit travels on, the condition a bonus carries, the maths inside a slot, the pool that pays a dividend on a race, the shared round whose prize depends on how many other people are in the room. This one reads a product that is sold as a ticket rather than a bet, enters a draw rather than a market, and moves its money by a declared split laid down before the first ball is drawn. Nothing else in the series behaves quite that way, and it produces the questions readers actually ask: why the advertised jackpot is not the money in the fund, why two winners took a different amount from the same tier, and what happens to a prize nobody claims.
It matters because a draw is sold as a small, harmless, once-a-week purchase, and its arithmetic is unusually easy to check. The odds of each tier follow from one combinatorial figure, the split is published as percentages, and the difference between the headline number and the fund is a subtraction. Where a user can re-derive a claim, the desk shows the arithmetic rather than asserting the number - which is the whole point of the odds page.
The three ways a tier's amount is set, in one strip
Every tier in a draw is placed in one of three families, and the strip below the header carries the same three labels as the ladder further down. The family decides who carries the risk that a tier is not won, and what happens to its money.
printed A printed sum
The rules state the amount, so it does not move with the number of winners or with the size of the draw. A quiet week and a record week pay the same, and the operator carries the difference between the printed sums and the tier's share of the fund.
split A fund split among winners
The tier has a declared share of the prize fund, divided among however many tickets won it. More winners means less each; a single winner takes the whole tier. The amount is only known after the draw.
carried Money carried forward
The tier's share is not paid at all if nobody wins it, and is carried into a later draw instead. This is the rollover, and it is why a jackpot can be larger than any single draw's fund - it is a total of shares from several draws.
What the draw decides before anything else
Four consequences follow from the structure of a draw, and each one is a page in this desk.
draw 1
draw 2
what the odds are Every tier's odds come from one figure. The number of ways to choose six from fifty-nine sets the chance of the top tier, and each lower tier is a count of the other combinations. The odds page works the whole ladder out.
draw 3
where the money goes The ticket price is split by declaration. A stated percentage of what a draw takes goes to the prize fund, and the rest to the state or good causes, the operator and the retailer. The prize fund page follows a sample draw through the whole split.
draw 4
who holds the claim The ticket is the entitlement. In most draws the physical ticket, or the account record of it, is what the prize is claimed against, and an unclaimed prize returns to the fund after a window. The claim page is about that window and its edge cases.
How to read the tier ladder
The ladder above is this desk's first signature component: six rows for a six-of-fifty-nine draw, each asked one question - how many combinations match this tier, what is the chance of one, and who sets the amount that is paid for it. Reading it from the top: one combination wins the top tier, three hundred and eighteen win the tier below it, and the count grows by orders of magnitude as the tier loosens, while the printed prize for each tier falls.
Read the verdict column before the prize. The verdict is what a player can act on: a printed sum is knowable in advance and does not change with the crowd, a split fund depends on how many other tickets matched the same tier, and a carried tier is the only one whose money can be large in a way that is unrelated to this week's sales - the rollover page is about that.
What the draw ledger shows
The draw ledger at the foot of this page follows one sample draw from the money taken at the ticket counter to every line it leaves on, and the uncomfortable figure is at the top: half of what is staked goes into the prize fund and half does not, so the expected return on a ticket, before any rollover is considered, is that half and no more.
That is the honest shape of the product. A rollover can raise the effective return of one particular draw, because it carries money that was staked in earlier draws, and nothing about it changes the split of the money staked in this one. The ledger separates the two.
Worked example - the expected return of one ticket (illustrative)
Draw format: choose 6 numbers of 59; ticket price 2.00
Ways to choose 6 of 59: C(59,6) = 45,057,474
Ticket sold in a sample draw: 2,000,000
Taken at the counter: 2,000,000 x 2.00 = 4,000,000.00
To the prize fund at 50% of takings: 4,000,000 x 0.50 = 2,000,000.00
Prize fund per ticket sold: 2,000,000 / 2,000,000 = 1.00
Expected return on a 2.00 ticket, before any rollover: 1.00 / 2.00 = 50%
Two figures decide everything a player can check on this page: the split, which is published, and the chances per tier, which follow from C(59,6). Every other number in this desk is derived from those two.
The three questions a draw's own rules answer
A draw is described in its rules and on the back of a ticket, and three things in them decide everything a player can act on. The checklist page turns this into a list to run in a couple of minutes.
- What is the split? The percentage of each ticket that reaches the prize fund is the return the product is built around, and it is published. Where a state runs the draw, the non-prize share is often split further between the operator, the retailer and causes.
- How is each tier's amount set? Printed, split, or carried. A draw that prints its lower tiers and splits its middle one behaves very differently from a draw that splits everything and prints nothing.
- What is the claim window, and who holds the ticket? A window measured in days or months, a bearer ticket or an account record, and a rule for a ticket that is lost. The window is where an unclaimed prize returns to the fund.
Where the numbers in this desk come from. Every ticket price, ticket count, percentage, tier prize, split and return figure here is labelled illustrative and shows its arithmetic, so it can be re-derived. Real draws differ in format, in ticket price, in their split, in the number of tiers and in how each tier's amount is set, and they change. What does not change is the structure: a fixed number of combinations behind each tier, a declared split of the ticket price, a scheduled physical draw, and a claim that the ticket has to support inside a window.
If you only read one page
The odds page is the practical one: it works out the chance of each tier from one combinatorial figure, which is the number a reader can check. The prize fund page is the one that explains why the advertised jackpot and the money in the fund are two different figures, and the checklist reduces the whole desk to eight questions to ask of a draw before buying a ticket.
| The line | Amount | Share | What it is |
|---|---|---|---|
| Prize fund | 2,000,000.00 | 50% | the whole prize pool, 50% of everything taken - the return the product is built around |
| State or good causes | 1,000,000.00 | 25% | the cause or state share, set by public policy rather than by product design |
| Operator | 800,000.00 | 20% | the operator’s share of the money taken |
| Retail commission | 200,000.00 | 5% | what the selling channel keeps of each ticket |
| Of the fund: printed tiers, match 2-5 | 1,015,570.00 | 25.4% | four printed tiers, paid first - match 2, 3, 4 and 5 at their stated amounts |
| Of the fund: top tier, split and carried | 984,430.00 | 24.6% | unwon in most draws of this size, and rolled into a later draw when it is |
| Everything taken | 4,000,000.00 | 100% | 2,000,000 tickets at 2.00; the four lines above it are the whole of what was taken, and the last two break the first line down |
4,000,000.00 taken, half of it to the prize fund. The first four lines sum to the whole of the money taken, so 50% reaches players and 50% does not; the last two lines are that same fund divided, with the printed tiers paid first (1,015,570.00) and the remainder held for a top tier whose expected winners in a draw of this size are 0.044 of a ticket - which is why it is usually carried rather than paid.