Reduced systems Lotto
In Lotto you pick 6 numbers out of 49. A system lets you play more numbers at once by splitting them into many bets. Below you can check what such a play costs and what it really guarantees.
Kaskada — coupon rules
In Kaskada a ticket holds two sets of 12 numbers from the range 1–24. Both sets are drawn at random.
The player picks no numbers and buys neither a full nor a reduced system. That is why we show no system calculator, cost table or guarantee for Kaskada.
Pick another game in the bar above to use the number system information.
What these numbers mean
- The cheapest ready-made reduced system starts at this many numbers — below that a system stops making sense.
- Reducing cuts the cost several times over, but the guarantee drops one tier down. That is the whole trade you are making here.
- The chance of the top prize falls exactly in proportion to the bets you do not buy — no more, no less.
Bet counts and costs follow from the combinations formula and from the price of a single bet in the chosen game. They are not a forecast — no system changes the probability of a single draw.
How to use this page
- Pick a game in the bar under the heading — the tables and the calculator recompute at once, with no page reload.
- In the „how many numbers you play” field set the system size. The „bets” column says how many tickets your pick splits into.
- The „cost” column multiplies the bets by the price of a single bet in that game.
- In the calculator below add a number of draws to see the spend over the whole period.
What this page does not do: It does not tell you which numbers to play and it does not compute the expected win — in every number game that is negative.
Further reading
Reduced system
A reduced system is a chosen part of the combinations from the full system for Lotto (6 out of 49) — just enough to hold a certain lower-tier prize at a given number of hits. You pay several times less than for a full system, but you give up the guarantee of the top prize.
| Numbers | Bets | Cost | Full system | Guarantee |
|---|
We currently publish no reduced system for Lotto. We do not have a source-verified covering layout whose guarantee can be proved mathematically, so we do not show coupon counts or promise a prize tier. Use the full system.
What a reduced system does not do: it does not guarantee the top prize, even if every drawn number is among yours. The guarantee covers only a lower tier — for example „a three if you hit four numbers”. Reducing a system means knowingly giving up part of the combinations in exchange for a lower price. The chance of the top prize falls in proportion to the bets you do not buy.
Cost calculator
Check what you will pay for the chosen system played over several consecutive draws. A single bet in Lotto costs 5 PLN.
You will pay in total: 35 PLN
7 bets × 5 PLN × 1 draw
Full-system coupon breakdown
Enter the numbers you selected. The tool will list every 6-number combination as a separate coupon. On the reduced-system page this list shows the full-system reference; a reduced system contains only a selected subset of these coupons.
What the calculator does not do: it does not compute the expected win, because in every number game that is negative — payouts are a fraction of stakes. The amount above is a cost, not an investment. Treat it as spending on entertainment and play only with money you can afford to lose.
How shortened coverage works
In a full system you buy every possible combination from the chosen set of numbers. If you bet on ten numbers, you pay for every combination that can be made from them — including the ones that add nothing new. A shortened system picks a smaller group of bets from that set so that no case is left uncovered at the level the system declares. It's a combinatorics problem: the bets are arranged so that every possible pattern of matches contains at least one bet with the required number of shared numbers. The rest of the combinations are deliberately left out.
How to read the guarantee notation
The notation „a guaranteed four when five out of eight chosen numbers are drawn” has three parts, and each one means something. Eight is the numbers you chose. Five is the condition: that many of your numbers have to come up in the draw for the guarantee to apply at all. Four is the result: if the condition is met, at least one bet in the system will have four matches. The guarantee is conditional — it says nothing about whether five of your numbers will actually come up. If only four come up, the system promises nothing, and the result depends entirely on how the combinations happened to fall. The guarantee doesn't scale up either: with six out of eight matched you're still only guaranteed a four, even though in practice you'll usually get more.
How it differs from a full system
The trade-off is measurable and comes down to one sentence: you give up the certainty of a full match in exchange for a lower bill. In a full system, if every drawn number is among yours, the top prize is certain — because you bought every combination, including the right one. In a shortened system that certainty is gone: you can have the complete set of numbers among your chosen ones and still not have a bet that brought them all together. The guarantee then drops one or two tiers lower. The proportions can be steep — shortening can cut the number of bets several times over while lowering the guarantee from a full match down to a four. Compare both columns in the tables on the full systems page — before you decide which variant suits you.
When shortened makes sense, and when it doesn't
A shortened system makes sense when you want to bet on a wider set of numbers than a standard ticket, and a full system for that many positions goes beyond the budget you're willing to spend. In that case shortening is an honest solution: you're knowingly buying less, knowing exactly what you didn't buy. It doesn't make sense in two situations. First: when the game's pool is small and the full system turns out cheaper than any sensible shortened version — in that case shortening saves nothing. Second: when the shortened system is meant as a way to bet on more positions for the same money in the hope it will change something. It won't. Three bets are three bets, whether you picked them with a system or with the quick pick generator. If the budget is tight, it's simpler and more transparent to play fewer bets at full stake. After the draw, use the coupon checker — with a dozen or more bets, checking by hand takes longer than it's worth.
Frequently asked questions about reduced systems
- Does the guarantee in a shortened system mean a sure win?
- No. The guarantee is conditional and applies only when a given number of your numbers have actually been drawn. If the condition isn't met, the system guarantees nothing. There's no certainty that any of the chosen numbers will come up at all.
- Why doesn't a shortened system guarantee the top prize?
- Because by definition it doesn't contain every combination. You can have the full set of drawn numbers among your chosen ones and still not hold the one bet that brought them together — that particular pattern was among the combinations left out when shortening.
- How much cheaper is a shortened system than a full one?
- It depends on the number of chosen positions and on how low a guarantee you're willing to accept. The lower the guaranteed tier, the stronger the shortening and the smaller the bill. You'll find specific figures for each game in the tables in the systems overview.
- Does a shortened system change the probability of winning?
- The probability for a single bet is unchanged and depends solely on the rules of the game. A larger number of bets means proportionally more attempts — exactly the same as the same number of bets filled in in any other way.
- Can I build my own shortened system?
- Yes, but working out the minimum coverage for a given guarantee is a hard computational problem, and for larger sets an optimal solution isn't always known. Published tables are based on layouts worked out and verified beforehand.