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Lottery odds calculator: your odds on any UK draw, or your own matrix

Choose a draw, say how many lines you play and for how many draws, and see the exact chance of every prize, the chance of at least one jackpot and what the tickets cost. The first answer below is one Lotto line in one draw.

1 in 22,528,737chance of at least one jackpot (0.0000044%) from 1 line of Lotto
20.5%chance of at least one prize of any size
0.22prizes you would win on average
£2.00total cost of the tickets
1 in 22,528,737jackpot odds for one line in one draw

Lotto has two rounds in every draw and each line is entered into both, so the per-draw figures cover both rounds.

Lotto: the chance of each result for one line
Prize tierExact odds per drawPublishedOne round
Match 6 (Jackpot)1 in 22,528,7371 in 22,528,7381 in 45,057,474
Match 5 + Bonus Ball1 in 3,754,7901 in 3,754,7901 in 7,509,579
Match 51 in 72,2081 in 72,2081 in 144,415
Match 41 in 1,0901 in 1,0911 in 2,180
Match 31 in 48.31 in 48.41 in 96.2
Match 21 in 5.391 in 5.41 in 10.3

How to use the calculator

Pick one of the 6 UK draws in the list, or choose "Your own matrix" to describe any other game. Then set the number of lines you buy for each draw and the number of draws you play. The panel updates as you type. With the page loaded fresh, it shows the simplest case: a single Lotto line, bought once, for £2.00.

The big figure is the chance of winning at least one jackpot across everything you entered. Below it are the chance of at least one prize of any size, the number of prizes you would collect on average, the total cost and, for reference, the jackpot odds of one line in one draw. The table underneath lists every prize tier, our exact figure beside the operator's published one, and for Lotto the odds for a single round as well.

For your own matrix, enter how many numbers you choose and how big the pool is, then any extra balls that come from a second machine, such as stars or a bonus number drawn separately. Because a made-up game has no prize table, you also say what the smallest winning match is, for example three main numbers. Rows that do not count as a prize are shown in a paler colour.

Close-up through the curved side of a clear draw machine filled with yellow, teal, blue and pink balls (AI-generated image) AI
AI-generated image. Balls tumbling in the drum, whose combinations the calculator counts so you don’t have to.

How the calculator works out the odds

Every figure starts from one count: the number of different lines the draw could produce. Choosing 6 numbers from 59 can be done in 45,057,474 ways, which is written C(59, 6). The order does not matter, so 3, 17, 22, 40, 51, 58 is one line however the balls come out. Each of those lines is equally likely, and that is all the calculator needs.

C(n, k) = n! ÷ (k! × (n − k)!)

To match exactly m numbers, the draw must take m of your numbers and the rest from the numbers you did not choose. Multiply the ways of doing both and divide by the total. For games with a second pool, such as EuroMillions stars or the Thunderball, the same sum is done for that pool and the two chances are multiplied, because the machines are separate.

P(match m) = C(k, m) × C(n − k, k − m) ÷ C(n, k)

Lotto and The Health Lottery are different: their Bonus Ball comes out of the same machine, from the numbers left after the main draw. A line that matched five of six Lotto numbers holds one unmatched number, and the Bonus Ball is one of the 53 balls still in the drum, so it is yours with a chance of 1 in 53. The calculator handles that case separately.

Since 7 June 2026, Lotto has two rounds in each draw, and every line is entered into both. One round has the 45,057,474 possible lines above. The chance of winning a tier in either round is one minus the chance of missing it twice, which is why the per-draw jackpot odds are almost exactly half: 1 in 22,528,737 against 1 in 45,057,474 for one round.

Exact odds and published odds

The operator prints odds rounded to a convenient figure, and in most cases rounded up. The calculator keeps the unrounded value, so small differences are expected. Lotto Match 4 works out at 1 in 1,090.17 per draw; the official table says 1 in 1,091. Thunderball's "any prize" figure is published as 1 in 13, while the exact value is 1 in 12.38: the official figure is rounded up to a whole number, where ordinary rounding would give 12.

Powerball is the one draw in the list without a published any-prize figure, because the game rules do not state one. Counting every tier, including the UK-only Match 2 prize, the calculator gives 1 in 13.18. The Health Lottery publishes its top tier as about 1 in 2.1 million, which is C(50, 5) = 2,118,760 exactly. Every other tier in every draw agrees with the official figure once rounding is allowed for; the how we calculate the odds page lists the sources.

Worked examples

Ten Lotto lines in every draw for a year is 104 draws and £2,080.00 of tickets. The chance of at least one jackpot over that year is 1 in 21,663, or 0.0046%. Over the same year those 1,040 lines would win about 225 prizes on average, most of them the £1 Match 2 prize.

One EuroMillions line in both weekly draws for ten years comes to 1,040 draws and £2,600.00. The chance of the jackpot in that decade is 1 in 134,460. Playing Thunderball once in each of its four weekly draws for a year costs £208.00 and gives a 1 in 38,753 chance of its £500,000 top prize, with about 17 smaller prizes on average.

For a made-up game, try 6 from 49 with no extra balls: there are 13,983,816 possible lines, so the jackpot is 1 in 13,983,816. Add one extra ball from a pool of 10 and the jackpot becomes ten times harder, because every main line now splits into ten.

Single gold ball rising through a clear tube above a draw machine filled with pale blue balls (AI-generated image) AI
AI-generated image. One ball leaves the drum, and the calculator works out how the chances change with each draw.

What the calculator cannot tell you

It gives chances, not prize money. Many prizes are shared between winners or are a share of sales, so what a win pays depends on how many other people match the same numbers. The comparison of every UK draw, with what each one pays back and how, is on the UK lottery odds page, and the full tier tables are on the Lotto odds, EuroMillions odds, Thunderball odds and Set For Life odds pages.

No input makes a line more likely to win. Numbers that came up last week, birthdays and Lucky Dips all have the same chance; only the number of lines changes the maths, and the cost rises with it. If the figures here make you think about how much you spend on draws, our safer gambling page has free, confidential help.

More on lottery odds

Lottery odds calculator: questions

How does the lottery odds calculator work?

It counts combinations. For each prize tier it works out how many ways a line can match exactly that many numbers, divides by the number of possible draws and turns the result into "1 in" odds. For Lotto, with its two rounds, it then works out the chance of winning that tier in at least one of the two rounds. Everything runs in your browser; nothing is sent anywhere.

Why do the exact odds differ slightly from the official ones?

Operators round their odds, and they usually round up. The Lotto Match 4 prize works out at 1 in 1,090.17 per draw, and the published figure is 1 in 1,091. The calculator shows both, so you can see that the difference is rounding, not a different game.

Does buying more lines improve my chances?

Yes, in direct proportion for the jackpot: ten different lines in one draw give exactly ten times the chance of one line. The cost rises in the same proportion, so the chance you buy for each pound never changes.

Is it better to play more lines in one draw or one line in more draws?

For the same number of lines the two are almost identical. Ten different Lotto lines in one draw and one line in each of ten draws both come out at about 1 in 2,252,874; the single draw is a fraction better, because different lines in one round can never win the same jackpot twice.

Can I use it for a lottery outside the UK?

Yes. Choose "Your own matrix" and enter how many numbers you pick and from how many, plus any extra balls drawn from a separate pool. The calculator gives the chance of every match. It cannot know which matches pay a prize, so you tell it the smallest winning match.

What does "chance of at least one prize" mean?

It is the chance that, across all your lines and draws, at least one line wins something. It treats each line as an independent entry, which is exact for Lucky Dip lines. Lines you choose yourself can do very slightly better or worse, depending on how many numbers they share.

Why is the average number of prizes more useful than the chance of a prize?

Because it adds up without any assumptions. If one line wins a prize in about one draw in five, 100 lines will win about 20 prizes on average, whatever numbers they hold. Most of those prizes are the smallest ones in the table.

Does the calculator include the UK Millionaire Maker?

No. The Millionaire Maker is a raffle: one code wins from all the codes sold in the UK for that draw, so its odds depend on sales rather than on the balls. The EuroMillions page gives the official approximate figures for it.

Does the calculator tell me how much I will win?

No, and no honest calculator can. Many prizes, including every jackpot, are shared between winners or depend on sales. The tool shows the chance of each result and what the tickets cost; the prize tables are on each game's page.