Powerball Calculator — Expected Value & Jackpot Odds
Enter the advertised Powerball jackpot, the cash-option percentage, your combined tax rate, and how many tickets you buy — and see the expected value per ticket, jackpot odds, and the breakdown of where the return comes from.
USD
%
%
After-tax expected return on a $2 ticket — nearly always well below $2
$0.331
EV / ticketJackpot EV
6.5%
Fixed prizes EV
10.1%
Expected loss
83.5%
- 1
Net jackpot (cash, after tax)
100,000,000 × 60% ÷ 100 × (1 − 37% ÷ 100) = 37,800,000 - 2
Jackpot EV per ticket
37,800,000 ÷ 292,201,338 = 0.129363Jackpot odds are exactly 1 in 292,201,338 (C(69,5) × 26). - 3
Fixed prizes EV per ticket
0.2015Sum of (prize × (1 − tax) ÷ odds) across all 8 non-jackpot prize tiers. - 4
Expected value per ticket
0.129363 + 0.2015 = 0.3309
How does this calculator work?
Powerball EV = (net jackpot / 292 M) + fixed-prize contributions, minus $2. After a 37 % federal tax and 60 % cash-option, a $100 M jackpot yields an EV of roughly $0.29 per ticket — a $1.71 expected loss. Jackpot odds are 1 in 292,201,338.
Formula
How this is calculated
Powerball uses a fixed prize matrix (2024): choose 5 numbers from 1–69 and 1 Powerball from 1–26. The jackpot odds are 1 in 292,201,338 — derived from C(69,5) × 26. There are eight other prize tiers with fixed odds, the best being a $1,000,000 prize for matching all 5 white balls but not the Powerball.
Expected value (EV) is the probability-weighted average payout of all tiers. The calculator applies your combined tax rate to each prize and adjusts the jackpot for the cash-option factor (the lump-sum payment is typically around 60 % of the advertised annuity). It then sums the expected return across all tiers and subtracts the $2 ticket cost to give net EV. The jackpot is almost never large enough to make EV positive after tax — a $1 billion jackpot, 60 % cash option, and 37 % federal tax gives a net jackpot of ~$378 M and a jackpot EV of roughly $1.29 per ticket.
The "any prize" probability reflects a 1 in ~24.9 overall chance of winning something, but the vast majority of wins are $4 prizes. The jackpot probability grows very slowly with multiple tickets — you need roughly 146 million tickets to reach a 50 % jackpot win probability.
Frequently asked questions
The jackpot EV must exceed the loss from all tiers combined to produce positive net EV. After a 37 % federal tax and a 60 % cash-option discount, the advertised jackpot would need to exceed roughly $700 million before EV turns positive — and even then, jackpot splits (multiple winners sharing the prize) and state taxes erode the calculation further.
Powerball advertises jackpots as an annuity paid over 29 years. The lump-sum cash option is typically around 60 % of the headline figure. Because taxes are applied before you invest any remaining winnings, the after-tax lump-sum is often only 37–40 % of the advertised number — a critical input to any EV calculation.
Lottery operators must cover operating costs, retailer commissions, and profit — roughly 35–50 % of revenue. That leaves less than the ticket price in expected prizes. Only when jackpots roll over to extraordinary sizes does EV approach the ticket price, and even then taxes and cash discounts keep it below $2 in most realistic scenarios.
Also known as
TG we-Calculate Editorial Team. (2026). Powerball Calculator — Expected Value & Jackpot Odds [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/powerball-calculator
TG we-Calculate Editorial Team. "Powerball Calculator — Expected Value & Jackpot Odds." TG we-Calculate. 2026. https://we-calculate.com/calculator/powerball-calculator.
TG we-Calculate Editorial Team, "Powerball Calculator — Expected Value & Jackpot Odds," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/powerball-calculator
@misc{wecalculate_powerball_calculator, title = {Powerball Calculator — Expected Value & Jackpot Odds}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/powerball-calculator}}, year = {2026}, note = {TG we-Calculate} }
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