How to Calculate Lottery Scratch Ticket Odds

Printed odds vs. real odds

Every scratch ticket has odds printed on the back. Something like "overall odds: 1 in 4.23." Sounds straightforward, right? Here's the problem: those odds were calculated before a single ticket was sold. They reflect the full, untouched prize pool.

Once people start buying tickets and claiming prizes, the actual odds shift. If a game started with 100 top prizes and 80 have been claimed, your chances of hitting one are way lower than the printed number suggests. The lottery doesn't update the packaging though. So the odds on the back become increasingly misleading as the game ages.

How live odds are calculated

The math is pretty simple once you have the right numbers. You need two things: how many tickets are still unsold, and how many prizes are still unclaimed. Divide the estimated tickets remaining by prizes remaining, and you get your real odds of winning.

The tricky part is estimating tickets remaining. State lotteries don't publish that number directly. But you can work backwards from the original odds and prize counts to figure out the total print run, then subtract what's been sold based on prizes claimed.

What is expected value (EV)?

Expected value is the average amount you'd win (or lose) per dollar spent if you played a game thousands of times. For example, an EV of $0.75 means you'd get back 75 cents on average for every dollar you spend. You're losing 25 cents per ticket on average.

Every lottery game has an EV below $1.00 because that's how the state makes money. But the range is huge. Some games return 85+ cents on the dollar while others are down around 50 cents. That's a massive difference when you're deciding where to put your money.

How EV is calculated

For each prize tier still available, multiply the prize amount by the probability of winning it, then add up all those values. That sum is the expected return per ticket. Divide by the ticket price and you get EV as a ratio. It's weighted by what's actually still available, not the original prize table.

See live odds for every game

You don't have to do any of this math yourself. Scratchy crunches the numbers for every active scratch game across 16 states. Check out the live data for California, New York, Florida, or Texas and see which games actually have good odds right now.

Want to put this into practice? Read our guide on the best scratch tickets to buy or see specific picks for $5 scratchers and $10 scratchers.