Scratch Card Expected Value Calculator
Enter the price, total ticket count and complete prize table for the same pool. Defaults are a worked example, not a real scratch card.
Calculation details
| Prize | Tickets | Probability |
|---|---|---|
| Fill in the fields above — the result is computed on this page. | ||
How do I use this page?
- Enter your data and check the input limits.
- Read the result and the detail table when available.
- Change the inputs to compare scenarios. Calculations run locally in your browser.
What this page does not do: It does not point to numbers to play and does not predict a draw — every draw is independent of the previous ones.
Further reading
Formula
EV = Σ(vᵢ × nᵢ) / N − c Theory — how is a scratch card's expected value calculated?
A scratch card's expected value is the average outcome derived from the entered payout table, the total number of tickets in the pool and the price of a single ticket. Each row describes one final combined prize per ticket and the count of tickets carrying it — winning symbols on the same ticket are never summed separately. Tickets not listed in the table are treated as losing. The net result subtracts the ticket price from the expected prize, and the default values are a worked example, not a real scratch card.
Frequently asked questions
What does the expected value of a scratch card mean?
How do I enter the prize table?
Are unclaimed prize counts enough to assess the current pool?
See also
Keno Odds Calculator
Probability of every number of matches in Keno (20 of 70) or any game drawn without replacement — a full table, no payouts.
Lottery Odds Calculator
Exact odds of matching any number of balls in Lotto, Eurojackpot, Keno or your own lottery — as 1 in X and as a percentage.
Lottery Syndicate Calculator
Split a prize by member shares. For equal shares, enter 1 for each member.