Multiple Tickets Lottery Odds Calculator
Enter how many tickets you buy for each draw and for how many draws. The calculator shows the chance of winning the top prize at least once — and the odds of each single ticket, which never change.
What these numbers mean
- Result for the settings above: 0.001116%. It updates as soon as any field changes.
- We compute it from the formula shown below — not from a prediction model and not from draw history.
- Each ticket keeps exactly the same odds in every draw; the total grows only because you buy more tickets.
- Past draws do not change future ones — the calculator assumes every draw is independent.
- The calculator computes, it does not advise. It does not point to numbers and does not say how much to play.
The numbers come from the formula and the values you typed above. They are not a forecast — no calculator changes the probability of a single draw.
How to use this page
- Fill in the fields in the form above — the result recomputes at once, with no page reload.
- Under the result you will find the interpretation scale, if the calculator has one: it says which range your value fell into.
- The formula we use is shown lower on this page — you can check the arithmetic yourself.
- To compute the same for another game or variant, change it in the select field — prices and pools update automatically.
What this page does not do: It does not point to numbers to play and does not predict a draw — every draw is independent of the previous ones.
Further reading
Formula
P = 1 − (1 − p)ⁿ · n = tickets per draw × draws Buying more tickets does not change the odds of any single ticket. In Lotto every ticket has exactly one chance in 13,983,816 of the jackpot, whether you buy one ticket or a hundred. What grows is the number of tickets — and the total cost, in exactly the same proportion.
At lottery odds the total chance stays almost exactly the number of tickets times the chance of one ticket. One Lotto ticket in every draw for a whole year is 156 tickets and about 0.0011% — roughly 1 in 89,640. Even one ticket in every draw for fifty years is 7,800 tickets and a chance of about 0.056%.
We compute the result in a numerically stable way (log1p and expm1). The simple formula would round 1 − p to exactly 1 for very small p and show 0% for millions of tickets; here even odds of one in a trillion give a correct, non-zero result.
The expected number of wins, n × p, is an average over a huge number of repetitions — not a forecast for you. For a year of Lotto it is about 0.0000112: it does not mean you win a “part” of a jackpot, it means that out of about 89,640 people playing like this for a year, on average one would hit it.
The calculator does not recommend how many tickets to buy or how often to play. It shows the arithmetic, so that you can compare the chance with the cost yourself.
Read more
Frequently asked questions
Does buying more tickets improve my odds?
It raises the chance that at least one of your tickets wins, in proportion to how many you buy — and the cost rises in the same proportion. The odds of each individual ticket stay exactly the same.
What is the chance of winning the Lotto jackpot if I play every draw for a year?
With one ticket in each of 156 draws the chance of hitting the jackpot at least once is about 0.0011%, roughly 1 in 89,640.
See also
Keno Odds Calculator
Probability of every number of matches in Keno (20 of 70) or any game drawn without replacement — a full table, no payouts.
Lottery Odds Calculator
Exact odds of matching any number of balls in Lotto, Eurojackpot, Keno or your own lottery — as 1 in X and as a percentage.
Lottery System Calculator
Lottery combinations calculator: how many bets a full system covers and what it costs — Polish games or any custom pool.