Full 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
- With that many numbers played the system splits into 7 bets, that is 35 PLN.
- Every extra number raises the cost faster than linearly — the growth is combinatorial, not a fixed percentage.
- A full system organises your picks and guarantees lower-tier prizes on a partial hit. It does not change the chance of the top prize per złoty spent.
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
Full system
A full system is every possible combination of 6 numbers out of those you choose. If you play 7 numbers, the game splits them into 7 bets. For Eurojackpot this estimate assumes exactly 2 Euro numbers; a larger Euro-number selection is expanded below as the Cartesian product of both combination sets.
- Numbers played
- 7
- Number of bets
- 7
- Cost (5 PLN per bet)
- 35 PLN
| Numbers in system | Bets | Cost | Guarantee |
|---|---|---|---|
| 7 | 7 | 35 PLN | full 6 if all 6 drawn numbers are among your 7 |
| 8 | 28 | 140 PLN | full 6 if all 6 drawn numbers are among your 8 |
| 9 | 84 | 420 PLN | full 6 if all 6 drawn numbers are among your 9 |
| 10 | 210 | 1,050 PLN | full 6 if all 6 drawn numbers are among your 10 |
| 11 | 462 | 2,310 PLN | full 6 if all 6 drawn numbers are among your 11 |
| 12 | 924 | 4,620 PLN | full 6 if all 6 drawn numbers are among your 12 |
| 13 | 1,716 | 8,580 PLN | full 6 if all 6 drawn numbers are among your 13 |
| 14 | 3,003 | 15,015 PLN | full 6 if all 6 drawn numbers are among your 14 |
| 15 | 5,005 | 25,025 PLN | full 6 if all 6 drawn numbers are among your 15 |
| 16 | 8,008 | 40,040 PLN | full 6 if all 6 drawn numbers are among your 16 |
What a full system does not do: it does not raise the chance of 6 hits per złoty spent. Buying 7 bets gives you a 7 times better chance than a single bet — exactly the same as 7 randomly filled tickets for the same money. A full system organises your picks and guarantees that a partial hit pays lower-tier prizes. Nothing beyond that.
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.
What a full system is
A standard bet is a single set of numbers. In a full system you pick more of them, and the game breaks your choice down into every combination of the length that game requires. If you add one number beyond the required minimum, the number of combinations equals the count of numbers in the set. Add two extra and it grows much faster, because the combination count follows the binomial formula — each extra number multiplies rather than adds. That's why a system two numbers bigger can be many times more expensive than one just a single number bigger.
Where the cost comes from
The cost is a simple product of three things: the number of combinations times the price of one bet times the number of draws. None of these factors is hidden — the calculator on this page shows all three separately. Work out the cost before you fill in the coupon, because the difference between a system one number smaller and one bigger can run to several hundred złoty for a single draw. If you want to draw a set of numbers for the system, use the quick pick generator.
What a full system guarantees, and what it doesn't
It guarantees one thing: if every drawn number is in your set, one of the bets will be a full match, and the rest will produce lower-tier wins. That's a concrete, measurable property. What it doesn't do: it doesn't improve the ratio of odds to cost. Twenty bets from a full system give exactly the same chance of the top prize as twenty randomly filled coupons for the same amount. The system organizes your picks and secures the lower tiers — nothing more.
When it makes sense, and when it's just multiplying the cost
A full system makes sense when you play a fixed set of numbers and you care about not letting a partial match go to waste. It stops making sense when you pick numbers at random — then you're paying many times more for exactly what a single coupon repeated the same number of times would give you. Set a budget before you choose the system size and stick to it. You'll find a comparison with other ways of playing in the systems overview. If a bet ever actually came in, you can work out the amount after deductions at prize tax calculator.
Frequently asked questions about the full system
- Does a full system increase the chance of the top prize?
- It increases it in proportion to the number of bets bought — exactly the same as buying the same number of single coupons for the same amount. How the numbers were chosen makes no difference, because every combination has an identical chance.
- Why does the cost grow so fast with each extra number?
- The number of combinations grows exponentially, not linearly. Each extra number multiplies the bet count by a factor that depends on the set size, so the difference between a system one number bigger and two numbers bigger can be more than tenfold.
- Does a full system pay out if I only match part of the numbers?
- Yes, when part of the numbers are matched, many bets in the system contain subsets of them, which produces lower-tier wins. Exactly how much depends on the number of matches and the system size.
- How does a full system differ from a shortened one?
- A full system covers every combination from the chosen set, a shortened one covers only part of them. A shortened system is cheaper, but it gives up the guarantee of a full-bet match and only secures a lower-tier win at a given number of matches.
- How many numbers is it worth betting on in a full system?
- There's no mathematically optimal number — every system size gives the same ratio of odds to cost. It comes down purely to the budget you're willing to put into a single draw.