Lottery Powerball Calculator
Powerball Odds Calculator works out Distinct tickets in the game and Jackpot odds (1 in) from Main numbers matched, Bonus numbers matched and Tickets bought. 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 Powerball 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 Powerball Odds Calculator
Enter Main numbers matched, Bonus numbers matched, Tickets bought and Price per ticket. Distinct tickets in the game updates as you type. 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).
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 matched, Bonus numbers matched, Tickets bought, Price per ticket, Advertised jackpot (from the operator, today) and Prize for this tier (if not the jackpot).
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
What information do I need for the Powerball Odds Calculator?
You need Main numbers matched, Bonus numbers matched, Tickets bought, Price per ticket, Advertised jackpot (from the operator, today) and Prize for this tier (if not the jackpot). 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 Powerball 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 Powerball 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.