Lottery Calculator
Lottery Odds Calculator works out Distinct tickets in the game and Jackpot odds (1 in) from Main numbers are drawn from 1 to, Main numbers on a ticket and Bonus numbers are drawn from 1 to. The default figures on this page give odds of this tier (1 in) of 292,201,338.00; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
4 steps
- C(69,5) = 11,238,513 main combinations, times C(26,1) = 26 bonus combinations = 292,201,338 tickets.
- Tickets matching exactly 5 main and 1 bonus: C(5,5) x C(64,0) x C(1,1) x C(25,0) = 1.
- Odds = 292,201,338 / 1 = 1 in 292,201,338.
- Expected value = probability x prize = 3.4223e-9 x 100000000 = 0.3422 per ticket, against a 2 ticket.
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
4 sources
What the Lottery Odds Calculator calculates
Computes exact odds for every prize tier of a pick-k-from-n lottery with a separate bonus pool, plus the expected value and break-even jackpot for a ticket.
How to use this Lottery Odds Calculator
Enter Main numbers are drawn from 1 to, Main numbers on a ticket, Bonus numbers are drawn from 1 to and Bonus numbers on a ticket. Distinct tickets in the game updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Distinct tickets in the game, Jackpot odds (1 in) and Tickets that win this tier.
The method follows Powerball - official prize chart and odds (1 in 292,201,338 jackpot; 5 of 69 plus 1 of 26), Mega Millions - how to play and official odds (5 of 70 plus 1 of 24), EuroMillions game procedures - 5 of 50 plus 2 Lucky Stars of 12 and Feller, An Introduction to Probability Theory and Its Applications, Vol. 1, ch. II (hypergeometric distribution).
Powerball jackpot odds example
With Main numbers are drawn from 1 to: 69, Main numbers on a ticket: 5, Bonus numbers are drawn from 1 to: 26, Bonus numbers on a ticket: 1, the calculator returns Distinct tickets in the game: 292201338, Jackpot odds (1 in): 292201338, Tickets that win this tier: 1. This example is checked against an independent source in the test suite.
What you can compare
Change one input at a time to see how it affects Distinct tickets in the game, Jackpot odds (1 in) and Tickets that win this tier. The inputs you can vary are Main numbers are drawn from 1 to, Main numbers on a ticket, Bonus numbers are drawn from 1 to, Bonus numbers on a ticket, Main numbers matched and Bonus numbers matched.
Understanding Distinct tickets in the game, Jackpot odds (1 in) and Tickets that win this tier
Odds here are exact; the money is not. Advertised jackpots are annuity values before tax, and a jackpot shared between winners pays a fraction of the headline figure. A positive expected value does not make a lottery ticket a good investment.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
Can AI predict lottery numbers?
Computes exact odds for every prize tier of a pick-k-from-n lottery with a separate bonus pool, plus the expected value and break-even jackpot for a ticket. Put your own figures in above and the working updates beside the result. For scale, the default figures on this page give 292,201,338.00.
What is the best lottery tax calculator?
Computes exact odds for every prize tier of a pick-k-from-n lottery with a separate bonus pool, plus the expected value and break-even jackpot for a ticket. On this page it is computed from Main numbers are drawn from 1 to, Main numbers on a ticket and Bonus numbers are drawn from 1 to and shown as Distinct tickets in the game, Jackpot odds (1 in) and Tickets that win this tier.
What information do I need for the Lottery Odds Calculator?
You need Main numbers are drawn from 1 to, Main numbers on a ticket, Bonus numbers are drawn from 1 to, Bonus numbers on a ticket, Main numbers matched, Bonus numbers matched, Tickets bought and Price per ticket. The page opens with default figures that give odds of this tier (1 in) of 292,201,338.00, so you can see the scale before entering your own.
What does this Lottery Odds Calculator show?
It shows Distinct tickets in the game, Jackpot odds (1 in), Tickets that win this tier, Odds of this tier (1 in), Probability of this tier, Probability with all tickets bought, Expected value per ticket and Expected value net of the ticket price, with the working and any warnings for your entries.
Can I check how the Lottery Odds Calculator result was calculated?
Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.