Scratch-Off Expected Value Explained: The Number That Actually Matters
If you have ever compared two scratch-off tickets and wondered which one is the "better" buy, you have stumbled onto the most important concept in lottery math: expected value.
Expected value (EV) is the single number that tells you how much a ticket is actually worth. Not the top prize. Not the overall odds. Not the flashy marketing on the front. The cold, calculated average of what you will get back for every dollar you put in.
It is the metric that drives our entire ranking system, and once you understand it, you will never look at a scratch-off ticket the same way again.
What Is Expected Value?
Expected value is the average amount of money you will receive back for each ticket you buy, if you could buy every single ticket in the game. It accounts for every prize tier, every probability, and every possible outcome — then compresses it into a single dollar amount.
For every $5 you spend, you get back $3.50 on average.
The other $1.50 is the lottery's cut. They use it to fund education, pay retailers, and cover operating costs. Every scratch-off in America works this way — you always get back less than you pay, on average. The question is how much less.
The key phrase is "on average." You will not get back exactly $3.50 on every ticket. You will get back $0 on most tickets, $5 on some, $50 occasionally, and very rarely a jackpot. But if you could buy a million tickets, your average return per ticket would converge on that $3.50 number. That is EV.
How to Calculate Expected Value
The formula is straightforward. For each prize tier in the game:
- Multiply the prize amount by the number of prizes at that tier
- Add up all those products
- Divide by the total number of tickets printed
Here is a real example using a simplified $5 game:
| Prize | Number of Prizes | Prize × Count |
|---|---|---|
| $5 (break even) | 200,000 | $1,000,000 |
| $10 | 100,000 | $1,000,000 |
| $20 | 30,000 | $600,000 |
| $50 | 8,000 | $400,000 |
| $100 | 2,000 | $200,000 |
| $500 | 200 | $100,000 |
| $5,000 | 20 | $100,000 |
| $500,000 | 2 | $1,000,000 |
| Total prize pool: | $4,400,000 | |
With 1,200,000 total tickets printed:
Payout rate = $3.67 ÷ $5.00 = 73.3%
This is a strong $5 game. You get back 73 cents of every dollar on average.
Why EV Matters More Than "Odds"
When most people compare scratch-offs, they look at two things: the top prize and the overall odds. Both are almost useless for making a smart buying decision. Here is why:
Overall Odds Are Misleading
"Overall odds: 1 in 4" sounds great until you realize it counts getting your money back as "winning." On a $5 ticket, winning $5 is a "win." You profited $0, but the lottery counts it. We wrote an entire article about this.
Two games can have identical overall odds (1 in 4) but wildly different expected values. Game A might return 60 cents per dollar while Game B returns 75 cents per dollar. The overall odds told you nothing useful.
Top Prizes Are Distracting
A $10 million top prize sounds incredible. But if the odds of winning it are 1 in 4.3 million and the rest of the prize tiers are thin, the game's actual EV might be lower than a boring $50,000 top prize game with dense mid-tier prizes.
EV captures the entire prize structure — not just the headline number. A game with 10,000 prizes of $100 and a $50,000 top prize might have better EV than a game with 2 prizes of $5,000,000 and almost nothing in between.
EV Across New York Price Tiers
Expected value (expressed as payout rate) varies significantly by price point. Here is what the data shows across active NY games:
| Price | EV Range | Payout Rate Range | You Lose Per $1 |
|---|---|---|---|
| $1 | $0.50–$0.60 | 50–60% | $0.40–$0.50 |
| $2 | $1.16–$1.30 | 58–65% | $0.35–$0.42 |
| $3 | $1.86–$2.04 | 62–68% | $0.32–$0.38 |
| $5 | $3.25–$3.60 | 65–72% | $0.28–$0.35 |
| $10 | $7.00–$7.60 | 70–76% | $0.24–$0.30 |
| $20 | $14.40–$15.60 | 72–78% | $0.22–$0.28 |
| $30 | $22.20–$23.70 | 74–79% | $0.21–$0.26 |
The pattern is clear: more expensive tickets return a higher percentage of your money. A $30 ticket loses roughly 22 cents per dollar while a $1 ticket loses roughly 45 cents per dollar. That is more than double the loss rate at the cheapest tier.
This does not mean expensive tickets are "better" for everyone — it depends on your budget and goals. But per dollar spent, the math consistently favors higher price points. We cover this trade-off in detail here.
How EV Changes After Launch
Here is where things get interesting — and where most players are completely in the dark.
The printed EV on a ticket reflects the game at launch, when every single prize is available and no tickets have been sold. But the moment the first ticket sells, the actual EV of the remaining tickets starts shifting.
This is precisely why checking remaining prizes before buying matters. The ticket in your hand does not have the same EV that was printed at launch. It has a different, current EV based on what prizes are still available.
EV in Practice: Comparing Two Real Games
Let's say you are standing at the counter choosing between two $10 scratch-off tickets. Here is how EV helps you decide:
| Metric | Game A | Game B |
|---|---|---|
| Ticket Price | $10 | $10 |
| Top Prize | $2,000,000 | $300,000 |
| Overall Odds | 1 in 3.80 | 1 in 3.75 |
| Payout Rate (EV) | 69% | 76% |
| EV per ticket | $6.90 | $7.60 |
| You lose per ticket | $3.10 | $2.40 |
| Top prizes remaining | 0 of 3 | 4 of 4 |
Game A has the flashier top prize ($2 million vs $300K) and nearly identical overall odds. Most players would pick Game A. But Game A has a 69% payout rate and — critically — all of its top prizes have been claimed. Those $2 million prizes are gone. You are paying $10 for a ticket with zero shot at the marquee prize.
Game B has a 76% payout rate with all top prizes still available. You get back 70 more cents per ticket on average, and you still have a shot at every prize tier. The boring-looking game is the objectively better buy.
That is the power of EV. It cuts through marketing and tells you what the ticket is actually worth right now.
What EV Cannot Tell You
Expected value is powerful but it is not everything. Here is what it does not account for:
- Variance. EV tells you the average outcome across millions of tickets. Your personal outcome on 10 tickets will vary wildly from the average. You might win $500 or you might win $0. EV does not predict individual results.
- Entertainment value. Some games are more fun to play. Crosswords, multi-play formats, and themes all affect enjoyment. EV does not measure fun.
- Prize tier preference. Two games with identical EV can have very different prize distributions. One might offer frequent small wins; the other might concentrate value in rare large prizes. EV doesn't tell you which distribution suits your style.
- Tax implications. Prizes over $600 are taxed. EV calculations use the gross prize value, not the after-tax amount. On big wins, your actual take-home EV is lower than the calculated EV.
EV is the best single metric for comparing scratch-off value. But it is one input to your decision, not the only one.
How Our Smart Score Uses EV
The Smart Score on our rankings page is built on expected value but goes further. It incorporates:
- Current EV based on remaining prizes, not printed prizes
- EV trend — whether the game's value is increasing, stable, or declining
- Lifecycle position — where the game sits in its shelf life
- Top prize status — heavy weighting on whether the biggest prizes are still available
- Mid-tier health — whether the $50-$500 range is well-stocked relative to remaining tickets
The result is a ranking that reflects the real, current value of every active NY scratch-off — not the value the game had when it launched months ago. Full methodology here.
The Bottom Line on Expected Value
Expected value is the only metric that answers the question "How much is this ticket actually worth?" It accounts for every prize, every probability, and every dollar at stake. When you compare tickets by EV instead of by overall odds or top prize, you make consistently better buying decisions.
The math is simple:
- Higher EV = better value. A game returning 75 cents per dollar is better than one returning 65 cents per dollar.
- EV changes over time. Always check current data, not what is printed on the ticket.
- Higher price tiers have higher EV per dollar. The loss rate drops as ticket price rises.
- No game has an EV above the ticket price. The house always wins over the long run. EV helps you lose less.
See Real-Time Expected Value for Every NY Game
Every active scratch-off ranked by current EV with live prize data. Find the best value ticket on shelves right now.
View Rankings →Related Articles
- Scratch-Off Odds Explained: What "1 in 4" Really Means
- How to Read Scratch-Off Odds (And Why Most People Get It Wrong)
- NY Scratch-Off Prizes Remaining — How to Check Before You Buy
- 5 Scratch-Off Strategies That Actually Work
- Are Scratch-Offs Worth It? A Data-Driven Answer
- Best $10 Scratch-Offs in NY
Data sourced from nylottery.ny.gov. All EV calculations based on currently active NY scratch-off games as of March 2026. Updated daily. For entertainment and informational purposes only. Please play responsibly.
Alex builds the Smart Score model and analyzes scratch-off data daily using official NY Lottery prize reports and open data APIs. All rankings are based on math, not gut feeling. Learn about our methodology.