Lottery Powerball Calculator

The prize tier you want the odds for.
Jackpots change every draw, so this has to come from the game operator rather than from the tool.
The fixed prize your game pays for the selected match, from its official prize chart.
Odds of this tier (1 in)
292,201,338.00
Lottery Odds Calculator
Distinct tickets in the game
292,201,338
Jackpot odds (1 in)
292,201,338.00
Tickets that win this tier
1
Probability of this tier
0.000000003422
Probability with all tickets bought
0.000000003422
Expected value per ticket
0.3422
Expected value net of the ticket price
-1.6578
Jackpot at which the jackpot tier alone breaks even
584,402,676
Odds
1 in 292,201,338
Worked out from Powerball - official prize chart and odds (1 in 292,201,338 jackpot; 5 of 69 plus 1 of 26) and 3 other sources.
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.

How this is worked out

4 steps
  1. C(69,5) = 11,238,513 main combinations, times C(26,1) = 26 bonus combinations = 292,201,338 tickets.
  2. Tickets matching exactly 5 main and 1 bonus: C(5,5) x C(64,0) x C(1,1) x C(25,0) = 1.
  3. Odds = 292,201,338 / 1 = 1 in 292,201,338.
  4. Expected value = probability x prize = 3.4223e-9 x 100000000 = 0.3422 per ticket, against a 2 ticket.

Results are general information, not financial, tax, legal, medical or engineering advice.