Every day the official Virginia Lottery posts the latest number of remaining scratcher prizes on its website at https://www.valottery.com/scratcher-search. Here we take that data, crunch it down to provide you with our rundown of scratchers ranked by the best odds of winning a prize. We collect this data every day so we track the changes in prize numbers over time.
The best scratchers to buy are always those that give you the best odds of winning a prize. For any game, your average probability of winning a Virginia Lottery scratcher prize is . But be strategic – use the data to buy only the scratchers with the highest odds.
Here’s the scratchers with above-average probability of a prize:
From crunching the data we also know which scratcher games have been the hottest buys. Some games go faster than others, especially the newer games. This chart shows the top number have had the most prizes claimed since :
Those are clearly the most popular; however, that doesn’t mean they’ve got an edge over other scratchers. More useful indicators better help you pick the best scratchers to buy. Here’s the top five by probability, and their percent remaining prizes:
VA Scratcher Game
% Probability (Odds)
% Prizes Remaining
% Prizes Claimed this Week
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(1 in )
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(1 in )
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(1 in )
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Table of Top 5 Scratchers with the Best Odds this Week
Our recommended strategy relies on a normal distribution of tickets randomly throughout the state. We calculate for you the standard deviation of the prizes to find the maximum number you need to buy to get at least one prize winning ticket. You may only need to buy 10 tickets at $1 each to get at least $2 or more in prizes before you waste money on diminishing returns.
Ranking of Best Scratchers to Buy
Find our scratcher list here. Filter by the prize, remaining scratcher games, prize odds and probability, the max number of tickets with a 98% probability of winning a prize.
The official Virginia Lottery data show of prizes still remain unclaimed. This leaves as many as prizes left out there, including top prizes. Use this data to land yourself as many prizes as possible.
What’s the ideal number of tickets to buy? This question has vexed me for years.
There must be a number that maximizes potential returns from scratcher prizes that also limits losses. That number could even allow you to propel your occasional prize winnings forward to more scratchers.
Buying too many tickets results in losing money to diminishing returns. Yet, buy too few and you may not win enough prizes. Either way, you never win enough cash to overcome the amount you spend buying scratchers.
I’ve recommended buying a cluster of scratchers equal to that of three standard deviations from the average odds of winning prizes. This would use the 68-95-99.7 rule and avoid diminishing returns. So if the average odds is 4 to 1 (one prize for every four scratcher tickets) then the number of scratchers might be 9 or as many as 12, depending on how large the standard deviation. In that cluster would be at least one winning scratch-off. But would you win enough prizes to make up for the cost?
Finally, I decided: let’s just test it. Get scratchers in clusters, and see how many return a profit in the end.
“Buy” Enough Scratchers to Find Out if the Strategy Works
Unfortunately, I don’t have the cash to do a true statistical test.
To separate what’s statistically true from what’s just luck, you’ve got to buy enough scratchers for a large enough sample. For the millions of scratchers issued, that means over 1,000 ticketsfor each game for a sample that would have a small margin of error (+/- 3%) and a high level of confidence (95%). That would have required spending millions for each game only to lose millions for most games.
But I could conduct a simulation. I could do that in a fraction of the time it would take to buy all the real tickets I would have needed. Create arrays of tickets, randomly select “tickets,” and see how many turn up winners. Then see if the amount of winnings overcome the amount that would have been spent.
I wrote some code in Python to:
Create an array to serve as a “pool” of all scratcher tickets – including all prizes – still unclaimed, as posted on VaLottery.com.
Calculate the number of tickets needed for a statistically significant number of tickets, based the total tickets still available.
Create an array that serves as a “roll” of scratchers, and fill that array by randomly selecting a “ticket” from the large pool of scratchers. Whether this was a winner depended on the actual prize probabilities.
Select a cluster of tickets, starting at a randomly selected number in a “roll” of tickets (based on the actual roll sizes by game cost, based on the retailer manual). This way, the tickets would be “bought” just like if you walked into 7-Eleven and started buying them with zero idea of how many tickets from that roll had been bought before you.
Add each cluster to a running list of clusters, summing up the total wins and loses.
Calculate the number of “observed winners” and statistically compare that with the current probabilities.
Chart demonstrating the process of the scratchers simulation
With this code, I could run this simulation to test the impact by various amounts of cluster sizes.
I ran this simulation for a statistically significant sample size of scratchers for each game. Furthermore, I ran this simulation for each game using different cluster sizes. The cluster sizes varied depending on the number of standard deviations, ranging from three below the average probability of winning a prize to three above the probability of winning. I ran these simulations based on data posted by the Virginia Lottery on March 8, 2022.
I ultimately ran seven trials for each scratcher game – one for each standard deviation from three below the mean to three above the mean, including once for the mean itself. This means that each trial involved simulating the ticket outcomes of an average 1,100 tickets per game, in 200+ clusters that ranged in size from one to 181.
Further-furthermore, I did it all over again based on the number of standard deviations from the probability of winning a prize that returns a profit over the cost of scratcher – a “profit prize.” So I ran a total of 1,177 trials.
As it turned out from my experiment, conducting this test in reality would have required spending as much as $11.2 million only to lose as much as $10.9 million. Of course, most games resulted in a loss.
A winner in the end
Yet, some games actually returned not only a profit, even as much as hundreds of thousands of dollars. For one game, the $5 Monopoly Fortunes game actually resulted in over $1 million – though for me it was just Monopoly money.
The Results – Some Scratcher Games Returned More Prizes than Expected
Once I had the final results in hand, I tested whether the “observed” prize frequency (i.e., The number of “prizes won” divided by the number of “tickets bought”) was consistent with the actual probability, based on the data provided on the official Virginia Lottery website.
For 27% of trials (315 trials), the number of prizes was exactly within the expected range of prizes based on the data posted on VALottery.com. A two-way Z-test, by calculating a Z-score from the proportions, confirmed as much. For these trials, the observed percent of prizes “won” was within a statistically expected range of the known probability, and as the p-value was below 0.05 I had to accept the null hypothesis, i.e., that the observed win rate was statistically the same as the expected win rate.
That’s a wonky statistician’s way of saying that I got as many prizes as I expected, regardless of how large or small the number of tickets in each cluster. On average, the proportion of tickets with a prize that I observed was 24% while the number of scratcher tickets that had a prize was also 24%. I did come out with more money in prizes after 20 of these trials, but my average total prize winnings was a loss of $8,545.
Another 37% of trials (438 trials) returned worse results than expected – there were fewer winning tickets than expected. The observed frequency of prize-winning tickets was 19%, while the average prize probability was 25%. In these trials, I came out ahead in just 12 trials and my final average tally was a negative $17,879.
Okay, so 1 out of 4 results were as expected, and another 2 out of 5 results were worse than expected. But that’s the boring part – the “expected” results aren’t all that exciting, are they? And there’s nothing exciting about winning the same or less than expected.
The exciting part is: when did I get a higher win rate than expected? Believe it or not, that happened. For 36% of trials (423 trials), I landed a statistically significant higher number of winning scratchers than the expected average. I observed an overage 32% of tickets had a prize, over the average expected 25% probability. My average tally was still negative, albeit a smaller average loss of $835.
However, I came out ahead in far more games in trials where the win rate was statistically higher than average. For 83 trials, I won more than I spent on scratchers; the final tally was on average $28,349 – boosted by high earnings that for some games totaled over hundreds of thousands.
The Best Number of Scratchers to Buy
“Okay, so how’d that happen?” you might be asking. Well, it all depends on the size of the clusters.
The question was always: how many tickets do I really need to buy? What’s the sweet spot between spending too much money on tickets and spending too little to win anything significant?
I narrowed down the cluster sizes that resulted in positive outcomes most often. But remember that the cluster size varied by the number of standard deviations from the mean prize probability. In my simulation, the cluster size corresponding to one standard deviation from the mean probability of a “profit prize” is the ideal number. This means that in general the number of scratcher tickets you’ll buy ranges from 5 to 12, an average of 8 tickets.
In past articles, I’d recommended a strategy that was three standard deviations from the profit prize mean, a range of 7 to 28, an average of 16. As it turned out, that was too many. You only need to buy half as many scratchers on average for the best odds.
You can find the raw data here to see for yourself:
Games with an observed frequency higher than the probability
Games with a higher average cluster outcome
Based on this data, I’ve gone back and revised my initial recommendation to buy based on three standard deviations from the mean. Turns out, you’re spending too much money doing that. This is good news – you can spend less to win more!
NOTE: Please remember that while I did this test based on real data, the results are only hypothetical. I could do the same test with same data and the results may differ.
The lottery is a fool’s errand. Everyone knows that, right? Still, every now and then I would buy a lottery scratcher ticket at the counter. There’s a joy in scratching off each section of the game, revealing the possible prize to meet the hope in your heart. Then of course the disappointment as it’s worth nothing at all, but at the cost of only a few dollars to spare. And if the prize turns out to be a a few dollars, then it was a few moments of free entertainment. That’s rare in our society.
Then one day I looked at the back and spotted a now about the odds, something like 1 in 4.16. How have you never noticed that before? One in every four scratchers is worth something?
I’m used to hearing the lottery odds of 1 in 60 million or whatever is announced in the daily news. But this is shockingly reachable. And of course that tidbit is tucked away on the mass of text on the backside, opposite where you really care to look, making it seem like the Virginia Lottery didn’t want you to spot that key detail.
This is where my journey started in finding the best lottery scratchers strategy, using real data to maximize returns and limit losses.
You know that probability of 25% is only for the smallest amount, the $1 you paid for the cheapest ticket. Then again, what if I knew the odds of each scratcher before I bought them. Before I pointed at one of dozens behind the counter I knew which was most likely to give me the best odds?
Green M&Ms and Lottery Scratchers have one thing in common – both are more likely than winning Powerball!
Get home and Google it – boom, the official Virginia Lottery website (valottery.com) comes up with a page dedicated to all the scratcher games. Even better, they post not just the odds of any prize. They also post the number of prizes still out there, the remaining scratchers unclaimed AND the number the Lottery issued to start with.
My mind raced with the possibilities with these numbers. I could easily calculate the probabilities of any prize, at any day of the week. If I had a list of games sorted by the best odds, I could walk into 7-11 armed with the knowledge to be an informed gambler, not just the average sucker.
Just a few hours’ work with a spreadsheet and I had it: a list of games sorted by the best odds of winning. And just like that, my love affair with the lottery scratchers was on.
Digging into Scratchers Data
I’m probably one of the “educated fools” among lottery enthusiast types. Or maybe I’m just “The Dreamer.” But can’t a man dream of finding an edge in the cracks somewhere?
Once I had a list, I wanted to add more features, more variables by which to rank them. Which games saw the biggest decreases in the number of prizes? What does it even mean when prizes are claimed faster than for other games? Even more importantly, when is it ever potentially profitable to buy scratchers? How many do you really need to win a profit? Is it possible to roll small winnings toward more scratchers and eventually hit a big win?
So the Google Sheet expanded, and expanded some more. Then I wanted to make sure I had daily numbers, so I built a way to scrape the data from valottery.com every day to update the statistics.
There’s more data I could dig out from these numbers. I could figure out strategies for weighing the returns, like the expected value, and factor that into a ranking. I could create rankings by not just the number of prizes remaining, but by the best probabilities, and then by the highest expected value. Then I could provide an average ranking.
I realized that if prizes are scattered throughout the rolls, but there were destined to be prizes within an ideal cluster size. Furthermore, I could show the maximum number of scratchers to buy for each scratcher game.
And then I thought: everyone should have this list. Everyone deserves a chance to have the best chances.
Why Virginia, you may ask? Well, because I live here. I wanted to know the odds of the games i saw in the counter of the 7-Eleven down the street from my house. Maybe in the future I’ll expand this site to help people in California, Florida, New York, or whereever.
I may have built this website for me, but you can use the data all you want. Have this list up on your phone when you next walk into 7-Eleven or Wawa or Sheetz or whatever convenience store. Tell the clerk, “this one, because I know it’s got the best odds. And yes, give me seven of them.”
Whenever the lottery releases new scratchers, people buy the new scratch-off games on the blind faith that the newer the game the better the chances to getting the remaining prizes before they’re claimed. But is buying new scratchers really the best strategy?
We took a look at the data, and the answer is: Not really. In fact, you might have slight advantage buying older scratcher games.
Scratchers can be worth buying, at least some that have better than average odds. They can have much better odds of actually winning some cash than the big name Virginia Lottery games like Megamillions, Keno, or Pick 3 and Pick 4.
But it might not matter when you buy them. The real question is: which scratchers are the best to buy right now? The only metric that matters is whether a scratcher game has the best odds for a high probability of winning prizes.
Data Shows Tickets Go Fast at First . . .
Since we gather the data posted every day on the official Virginia Lottery website at VALottery.com, we can easily see whether the probabilities of winning a prize get any better or worse the longer the game goes on. Is it going to be Extreme Millions, or Hot 777s? Here at ScratcherStats.com, our first four of 9 tips for winning Virginia Lottery scratchers are to check the scratchers data. You can find a ranking list on our site and more in-depth stats here also.
Right now, among the 85 scratcher games available in Virginia, 44 have only been in circulation for less than 90 days, including four that started just this month.
Surely, these games have more prizes remaining, including top prizes. From data collected February 22 through April 18, 2022, people throughout Virginia bought about 543,000 scratchers per day. This number excludes the tens of millions of new scratchers that the Virginia Lottery commission injects into stores every month. As you can see in this chart, Virginia store shelves received a boost of 19.2 million tickets on March 2 and 11.1 million on April 9.
Scratchers remaining daily based on VALottery.com data
Another chart, below, shows the average number of prizes claimed by the number of days since the game’s start date. Just a quick look at this one and you can see that people buy many more tickets at the start of the game. So, in a way, the top winning scratchers are the new games. In fact, by the end of the first 60 days, you can expect that people will have bought over 1.5 million tickets – and about 21% of those are for scratch-off games that started less than 60 days earlier.
. . . but Most New Scratcher Tickets are Losers
Here’s the really interesting part: the ratio of people buying losing tickets is higher than winners for those first 60 days or so. While the average of winners bought to losers is usually 22% to 78%, during the first 60-90 days this ratio shifts to 14% winners and to as much as 86% losers.
Total scratchers bought in the days after a new game starts
While people are buying more scratchers early in a game’s lifespan, more of these scratchers are losing tickets. People clear out more losers from the scratcher rolls when a game is new.
Why then make a fuss about a new scratcher game? The data indicates that you may even benefit from buying older games – there’s fewer losers to waste your time and money on.
One question is whether the hullabaloo about a new game is for you, the humble gambler with hopes of winning a nice prize, or for the Lottery commission. You’ll see the Virginia Lottery pump out new holiday-themed games. Even if some have the worst odds of any game, they go quickly. People buy them perhaps as easy office “appreciation” gifts or stocking stuffers. Some games are only open for short period, like Hot 777s – started in January this year and just closed on April 15.
But many games that have been out there for years, like Super Cash Frenzy has been around since March 2018 and still offers two tickets with the top prize of $4 million. Extreme Millions has been around since October 2017. Only recently did it sell out of its four chances to win $10 million but the Virginia Lottery officially closed the game on April 15, 2022. Yet another reason to look at the data is to check for top prizes, though the game may still be worth buying.
The Real Question: Do the Scratcher Odds Ever Get Better?
The fact is that all that really matters is how many scratcher prizes are out there right now. Does the probability of winning scratcher prizes increase the longer a game goes on?
This scatter plot chart shows that, in fact, the probability does get better for older games. Even as the number of prizes still available decreases from nearly 100% to around 25%, the average probability of winning a prize actually increases, albeit slightly. The average probability changes from 25% for those games in their first 60 days to an average 28% for games older than three years.
Scratcher prizes remaining and the average probability over time from game start
So buying older scratcher games can be a good lottery scratchers strategy because it offers an edge – at least a thin edge. Is it because many of the losing tickets have been bought already? Maybe that has an effect. The correlation between time and probability is nearly none – only an R-square of 0.106, meaning that the days since the game start date only explains about 10.6% of the variation in the prize probability.
Still, some edge is better than none. The trick to buying scratchers is to be choosey when picking the lottery scratcher game. Don’t just buy the game because it’s new.
Buy Scratchers by the Best Odds, Not the Age
When you examine games for how many remaining winners are in circulation, then all that matters is which give you the best odds right now. It doesn’t matter if the game started yesterday, or five years ago. It doesn’t even really matter if the top prize is already gone. What really matters is: which scratcher game offers the best odds for you?
If you want to know which is the best lottery scratcher to buy in Virginia, then use the data in this list. You can filter it by the best scratcher odds, based on a daily counts of data offered by the official Virginia Lottery website. Find even more stats for each Virginia Lottery scratcher game on this page.
We’ve been studying the secrets behind the Virginia Lottery Scratcher system to really understand the ways the Average Joe can maximize his chances. Here’s some tips you should remember before you buy any lottery scratcher:
The 9 tips in short
1. Check the scratcher prize odds first.
Many don’t realize it but the Virginia Lottery commission posts all the odds for each game on it’s website: https://www.valottery.com/scratcher-search. The website shows the overall odds for winning any prize along with the odds of winning the top prize. For this $30 scratcher game, that comes to 1 in 2.95 for any prize and 1 in 2,448,000 for the top prize of $5 million.
That means you can do the math and see whether it’s worth a higher cost for better odds of prizes that return more money. In comparison to that $30 per ticket scratcher game which has odds of 1 in 2.95 for winning $30 or more, this $1 scratcher game has odds of 1 in 5.05 of winning a prize of $1 or more. Additionally, the odds of winning the top prize for that game may be much better – 1 in 367,200 – but the top prize is only $1,777.
2. Check the number of remaining lottery scratcher prizes
While you’re looking at the scratcher game pages, you may have noticed the table showing the number of prizes remaining in circulation for that game along with the number of prizes distributed at the start of the game. Every seller of scratchers scans winning prizes into the Virginia Lottery system, so they know exactly how many prizes remain available to win. The VALottery.com website updates these counts daily.
While you may be just as likely to win a prize at any time, due to random disbursement of prizes among the rolls issued to sellers, logically it makes sense that fewer prizes in circulation = prizes are harder to find. The remaining prize counts will tell you if this scratcher game is more depleted than others.
3. Check the current odds, not just the starting odds, from the number of remaining scratchers
Under number 1, I should have said you can check what the odds were at the start of game. You can calculate the current odds of winning any prize from the count of remaining prizes, if you do a little reverse math: total up the number of prizes remaining and multiply the sum by the overall odds to get the total number of scratcher tickets issued. Then divide the sum of prizes from that total of tickets issued.
Note that the overall odds never change – you used that number to calculate the total tickets issued, after all, and in theory all prizes are claimed equally over time. However, you can calculate the probability of landing any particular prize from the count of remaining tickets with that prize. AND you don’t have to rely on the outdated initial count of prizes issued; it can be accurate within the last 24 hours.
If that sounds like a lot of work, we’re here to help! Check out our list of current odds for all scratchers on our home page: https://www.scratcherstats.com/. In fact we take it one step further – that list ranks the scratchers by the best current odds. See our Methods page for more details on the rankings by probability.
4. Don’t just check the probability of any prize, but the probability of winning prizes that return a profit
Winning a prize is always fun, but more often that prize will be for the amount of time you spent buying that ticket. Don’t get me wrong, I like getting money back, but I prefer getting a little something extra. That’s why you should calculate the probability of winning a profit, not just the probability of winning any prizes, from the number of prizes remaining. On our ranking list, we’ve factored that into the rankings. Find out more about how we compiled that ranking here.
The odds of a “profit prize” are lower than winning any prize, of course. Looking at the statistics we list for each scratcher, the average of winning any prize is 25%, while the average of winning a profit is 14%. But those odds of a profit range depending on the game, anywhere from 3% to 35%. If you plunk down cash for a scratcher, you’re going to want to get the one most likely to return some extra cash. That’s why you should use our list before buying.
5. Play the games with more prizes, not bigger prizes
If you’re following the tips above then you’re ready to play for more frequent small wins rather than rare big wins. Think of trying to find lots of coins buried in the mud with a few rare gold dubloons. If you aim to scoop up as many quarters, dimes, and nickels with the attitude that a big win would be nice but not expected, you may find yourself winning a pretty nice pot of change in the end.
6. Buy more than one scratcher at a time
The heart of the best strategy when buying scratchers is this: buy a string of scratchers, ideally from the same roll. As explained in more detail here, the reason is that you maximize your chances by buying a number of scratchers most likely to contain a winning ticket. Along with calculating the probability of winning tickets from the number of remaining prizes presented on the website, you can can also calculate the standard deviation. Given the statistical laws of a normal distribution, you are 99.7% likely to turn up at least one winning ticket when purchasing a string of tickets equal to the odds of winning plus three standard deviations from a single roll of scratchers.
7. Buy only the number of scratchers you need to win a prize
Some people think buying a whole roll of scratchers will guarantee a big winner, or at least enough prizes to make some money over the amount spent on the roll. But according to the law of diminishing returns, that’s a waste of money. You’ll get a minuscule increase in odds by buying all those tickets. On the other hand, you can maximize your potential returns by buying a number of tickets equal to one standard deviation from the mean odds of a prize worth more than the cost of the ticket (i.e., mean “profit” prize odds + one standard deviation). Depending on the scratcher game, that means buying anywhere from 28 to just 4 tickets. The logic is explained in this blog post.
The ranking of scratchers provides a list of scratcher tickets with the best tradeoff between number of tickets to buy and probability of winning. Filter the list for the scratchers that require the least number of tickets in order to win a prize. Of a total 85 scratchers, there are 19 of which you need to only buy 10 tickets for the best odds of winning.
8. Take advantage of second chances
Many of the Virginia Lottery scratcher games have an “eXra Chances” logo on them. Scratch off that logo to find the scratcher serial number and you can enter to win a drawing every week for a prize worth anywhere from $500 to $1,000. The prize changes, of course: one week it’s a $600 home improvement gift card, and the next month they rotate to $1,000 gift card or $2,000 for appliances. Add to those opportunities another five scratchers with similar “Second Chances” games that you can enter for a prize drawing. In fact, if you keep an eye out, you might find these eXtra Chances in the trash.
9. Keep your losers for tax season
The IRS lets you deduct gambling losses from your winnings. If you do win, you’re going to want to keep all your winnings, of course. The way to do that is to take advantage of tax deductions. Doing so means you keep the government from claiming 24% of those winnings. Read this blog post for more details.