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Is a Powerball play worth $2?

At the smallest jackpot, $20 million, a $2 play pays back $0.388 on average: you lose $80.58 of every $100. Type in this draw's jackpot below.

What a play pays back

The operators do not publish how many plays a draw sells. Leave this empty to leave sharing out, or type an estimate.

A $2 play pays back $0.388 on average.

You lose $80.58 of every $100 you spend.

$0.068 of that comes from the jackpot and $0.320 from the other prizes.

At this jackpot, a play is worth less than its price.

A play pays back its price on average only once the jackpot reaches about $491 million, before tax.

What each prize adds to a play

Numbers matched Chance Prize Adds
5 + Powerball1 in 292,201,338$20 million$0.068
51 in 11,688,054$1,000,000$0.086
4 + Powerball1 in 913,129$50,000$0.055
41 in 36,525$100$0.003
3 + Powerball1 in 14,494$100$0.007
31 in 580$7$0.012
2 + Powerball1 in 701$7$0.010
1 + Powerball1 in 91.98$4$0.043
Powerball only1 in 38.32$4$0.104
Average payback$0.388

The jackpot line allows for sharing with other winners when you give the plays in the draw.

How it is worked out

A play's average payback is the sum, over every prize, of its chance times its amount. The table above does exactly that, line by line.

When more than one play wins the jackpot, the winners share it. If a draw sells T plays, the number of other winners is very close to a Poisson count with an average of λ = T × the jackpot chance, and a winner keeps on average (1 − e−λ) ÷ λ of the jackpot.

The break-even jackpot is the one at which the average payback equals the price of a play.

What this leaves out

Sources

The chances are those of the odds page, checked the same way. Prizes and sales were read from these pages:

Powerball® is a game of the Multi-State Lottery Association. TrainYourOdds is independent and not connected with any lottery operator.