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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.

The odds of one ticket are calculated exactly from the game format. “Custom odds” lets you type your own.

Different combinations bought for the same draw.

For example 156 is one year of Lotto: three draws a week.

Chance of winning at least once: 0.001116%

The same chance as
—
Odds of each single ticket (unchanged)
—
Tickets in total
—
Expected number of wins
—
In words
—

What do 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 do I use this page?
  1. Fill in the fields in the form above — the result recomputes at once, with no page reload.
  2. Under the result you will find the interpretation scale, if the calculator has one: it says which range your value fell into.
  3. The formula we use is shown lower on this page — you can check the arithmetic yourself.
  4. 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
p is the probability of one ticket (1 ÷ X) and n is the total number of tickets. (1 − p)ⁿ is the chance that none of them wins, so 1 − (1 − p)ⁿ is the chance of at least one win. The formula treats every ticket as an independent try; different combinations in the same draw give a very slightly higher chance, n × p, and at lottery odds the difference is invisible.
Theory — how are odds calculated for multiple tickets?

The calculator shows the chance of winning the top prize at least once when a player buys several tickets per draw or plays across many draws. Buying more tickets does not change the odds of any single ticket — in Lotto each ticket has exactly a 1 in 13,983,816 chance regardless of whether you buy one ticket or a hundred. What increases is the total number of chances and the total cost. The result is based only on the number of tickets and draws entered.

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

← All calculators

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My saved selections

Selections saved only in this browser. Numbers are shown exactly as saved; this is not a lottery ticket.

Open the My saved selections hub
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Restore in the hub: review the file and confirm first. Both old backups and the complete selections + journal backup are supported. Nothing is uploaded.