Lottery science, sourced

How lottery odds are actually calculated — combinations explained from scratch

Every headline lottery number — 1 in 292,201,338, 1 in 139,838,160 — comes from one counting formula. Here it is, built from scratch and applied to the world's major games.

Picturing 1 in 292 million: five comparisons that actually work

Human intuition handles odds up to about a thousand, then quietly gives up. Five physical pictures of the Powerball jackpot's 1 in 292,201,338 — every one with its arithmetic on show.

Jackpot odds vs 'any prize' odds: how 1 in 292 million becomes 1 in 24.9

Operators quote 'overall odds of winning' because it is a genuinely small number. We derive Powerball's 1 in 24.87 from its nine prize tiers and show why 92% of those wins are the minimum prize.

What a bonus ball actually does to your odds

A bonus ball from a separate machine multiplies the whole game; a bonus ball from the same machine leaves the jackpot untouched and only builds extra divisions. The worked difference, with US Powerball, UK Lotto and Australian supplementaries.

Why buying two tickets changes nothing (even though it doubles your odds)

Doubling a vanishingly small probability yields a vanishingly small probability. The arithmetic of extra tickets, why our log-scaled intuition falls for it, and what it would actually take to move the needle.

The birthday problem vs the lottery: why coincidences are cheap and jackpots aren't

The birthday paradox worked from scratch: 23 people, 253 pairs, 50.7%. The same some-vs-specific logic explains why lottery winners appear every week while any given ticket stays hopeless.

How many tickets until you're the favourite? Half the combination space, priced up

A ≥50% jackpot chance means holding half of all combinations as distinct lines. The per-game bill runs from A$3.7 million for Saturday Lotto to $726 million for Mega Millions — before you find the time to mark them.

Buying every combination: the guaranteed win that doesn't pay

Covering every line guarantees the jackpot and still usually loses money. The full-coverage bill for eight major games, the logistics of 292 million slips, and the two famous crews who actually did it.

The odds of winning the lottery twice (and why it keeps happening)

Square the odds and a specific double win is a one-in-tens-of-trillions event — yet double winners keep making the news. The difference is the law of truly large numbers, worked through with real cases.

The odds of matching zero numbers — the result you get most

Blanking completely is the most likely single outcome in most big lotteries — we derive P(zero matches) for eight games, find the two where 'exactly one' sneaks ahead, and explain why your memory disagrees.

Return to player: what share of ticket sales comes back as prizes

Every lottery publishes, somewhere, what proportion of sales it returns as prizes. We collect the designed figures from game rules and the realised ones from audited accounts, and explain why they differ.

The payout ratio league table: why draw games return half and slots return 93%

Ranked from best to worst payout across gambling products, then the four-part explanation of why the spread exists — and why a 93% machine can take more of your money than a 50% lottery.

The best jackpot odds in the world, ranked

We ranked the world's draw games by top-prize probability, deriving each number from the published matrix rather than copying a marketing page. The spread is enormous — six thousand times between the easiest and the hardest.

The best odds of winning any prize — and what those prizes are worth

Any-prize odds are the number operators advertise most and explain least. We compute them from the division tables — then show how many of those 'wins' are worth less than the ticket that bought them.

Cheapest cost per chance: what a jackpot shot really costs

Dividing the ticket price by the jackpot probability gives one honest number per game — what you would spend to buy a certainty. It ranges from a few million to over a billion, and it exposes which games are quietly expensive.

Lower-division prizes are the real returns

Decompose a ticket's expected value division by division and the jackpot turns out to be a minority shareholder until the prize is enormous. We show the full table for US Powerball and UK Lotto.

How prize pools are actually split (and why popular numbers pay less)

A pari-mutuel prize is a pool divided by winners, which makes your payout depend on other people's choices. We derive the co-winner distribution and show what popular number patterns cost.

Must Be Won draws and roll-downs: the only time a lottery hands money back

A roll-down injects money accumulated in earlier draws into a single draw's prize pool. It is the one mechanism that can push a draw's return to player far above its designed level — and once made a US game genuinely +EV.

Annuity vs lump sum: the discount rate hidden in the advertised jackpot

The gap between an advertised US jackpot and its cash value is not a penalty — it is a discounted cash flow. We invert the arithmetic to recover the interest rate the lottery used, using verified 2025 and 2026 draws.

The advertised jackpot vs what you actually get: every deduction, stacked

We take a $100 million advertised US jackpot and apply every deduction in order, with a primary source for each rate. Then we run the same prize through the UK and Australia, where the answer is $100 million.

Hot numbers: we ran the chi-square test — here's what happens every time

The chi-square test is how statisticians check whether some lottery numbers really come up more often than chance allows. We explain the test, work an example by hand, and show what peer-reviewed studies — and our own live tests — find every time.

Cold numbers and the gambler's fallacy: why 'overdue' is a word, not a strategy

The idea that an absent number is 'due' is the gambler's fallacy in its purest form. We calculate exactly how often long droughts occur by chance, and walk through the Monte Carlo simulation that shows drought-ending probability never changes.

Do consecutive numbers avoid each other? The 49.5% surprise

Players believe consecutive numbers 'never come up', so they avoid them. We derive from first principles that about 49.5% of 6/49 draws contain at least one consecutive pair — and why the avoidance itself makes consecutive picks slightly smarter.

Is 1-2-3-4-5-6 less likely to win? No — but please don't play it

Every combination is exactly equally likely, and we show why from the raw counting. But 1-2-3-4-5-6 is reportedly played by around 10,000 people in the UK alone, making it the single worst value line on the playslip.

The odd-even 'balanced mix' myth: advice that's true, useless, and sold anyway

Strategy guides say to pick a balanced odd-even mix because most winning draws have one. We compute the exact share of combinations in each odd-even split and show the 'advice' is just the base rate wearing a suit.

Lucky 7 and lucky 3: a biography of two numbers that owe you nothing

Sevens and threes have millennia of cultural prestige and zero statistical edge. We check the draw data, trace where the reputation came from, and show the one real effect: 7 is so over-picked that its fans share smaller prizes.

That 'suspiciously frequent' number pair? Meet the multiple-comparisons trap

Prediction sites love pointing at number pairs that appear together 'far more than expected'. With C(49,2) = 1,176 pairs under simultaneous surveillance, extreme-looking pairs are guaranteed. We do the arithmetic and explain the Bonferroni fix.

Patterns in lottery draws are guaranteed — that's exactly why they're worthless

Prediction sites showcase uncanny patterns in past draws. We show why patterns are mathematically guaranteed in any random sequence — with the 64% calculation — and how to spot data dredging in the wild.

Lottery prediction software, tested against the only judge that matters

Prediction software promises to beat a draw that is mathematically unbeatable. We dissect what accuracy claims actually measure, show the chance baselines every predictor secretly matches, and give you the test no vendor survives.

AI lottery predictors: what a neural network can learn from pure noise (nothing)

LLMs and neural networks find patterns in data — but lottery draws are independent and identically distributed, so there is no pattern to find. We explain the information-theoretic wall, the overfitting illusion, and the one job AI can genuinely do.

Astrology, dream books and 'lucky number' generators: the psychology of how people pick

From 19th-century policy dream books to modern star-sign generators, people have always wanted their numbers to mean something. Meaning doesn't change the odds — but it does change how many people you'll share with.

'Lucky' lottery stores: why some shops really do sell more winners

The shop with three winner banners in the window isn't blessed — it's busy. A Poisson calculation shows a store selling ten times the tickets produces about ten times the winners, and Texas news coverage confirms it.

Quick picks vs choosing your own numbers: the base-rate trap and the sharing edge

Most jackpot winners used quick picks — because most tickets are quick picks. Odds per ticket are identical either way, but random numbers avoid the crowded date-and-lucky-number zone, which matters when jackpots get split.

Does it matter when you buy your ticket? Odds, EV — and the mortality calculation

The draw can't see your timestamp, so purchase day never changes your odds. It nudges expected value through rollovers and crowd size — and yes, the famous morbid calculation checks out, with CDC life tables to prove it.

Is the lottery rigged? What draw auditing actually involves

Modern draw nights are a chain of seals, scales, test draws and independent auditors, documented in operator procedures. The honest answer: the draws are extraordinarily well policed — and the real frauds were insiders.

The Eddie Tipton hack: how a lottery insider rigged the RNG — and how he got caught

The biggest lottery fraud in US history wasn't a lucky streak — it was the Multi-State Lottery Association's own security director seeding rigged numbers into computerised draws for six years. The case that made the argument for glass drums.

Weighing the balls: the physical QC behind every draw — and what a biased ball would do

Before the cameras roll, every ball set is weighed against a certified tolerance range and test-drawn under audit. Here's the documented QC routine — and the calculation showing why scales catch a biased ball years before statistics would.

Physical draws vs software draws: transparency, auditability and the Tipton lesson

Gravity-pick machines let millions verify a draw by watching; software draws replace that with certificates and code audits. Both can be honest — but the one insider fraud in modern history hit the software side, and the industry noticed.

Why every 'hot pairs' page is statistically illiterate — by its own numbers

Hot-pairs pages breathlessly report that some pair appeared twice as often as average. With 1,176 pairs in play, order statistics says the top pair should — in perfectly fair draws. Here's the takedown, and a junk-spotting checklist.

Why Math.random() must never draw a lottery

Math.random() looks random and passes statistical tests, yet published work recovers its entire internal state from a handful of outputs. We show concretely what 'predictable' means and why no draw should ever depend on it.

PRNG vs CSPRNG vs TRNG: the three tiers of random

Not all 'random' is the same. We separate the three tiers — PRNG, CSPRNG, TRNG — with plain-language analogies, real examples (Mersenne Twister, ChaCha20, hardware noise), and the jobs each is built for.

crypto.getRandomValues(): where browser randomness really comes from

Every modern browser ships a cryptographic randomness source: crypto.getRandomValues(). We trace where the bytes actually come from — the operating system's CSPRNG — and what the W3C spec does and doesn't promise.

Modulo bias: how random() % 45 quietly favours low numbers

The obvious way to turn random bytes into lottery numbers — the modulo operator — is subtly wrong. We work the exact bias for an 8-bit example and show why even tiny skews sink a fairness claim.

Rejection sampling: the exact fix for modulo bias

Throwing away the 'leftover' random values sounds wasteful — it's actually the only way to get an exactly uniform draw. We continue the 8-bit example, compute the expected retries, and show why the result is perfect, not approximate.

How we built an unbiased lottery number generator

A complete walk-through of the generator behind our tool: OS-grade randomness, exact rejection sampling, and an unbiased Fisher–Yates draw without replacement. The pseudocode is on the page — check it against the running code.

How to test a random number generator yourself

You don't have to trust a generator — you can test it. We cover the tests you can run in a browser, the heavyweight batteries the professionals use, and the crucial limits of what a pass means.

Certified RNGs: what testing labs actually check

RNG certification badges are everywhere in regulated gambling. We unpack what the published GLI-19 standard and the major labs actually test — and the hard limits of what a certificate can promise.

Can physics predict a lottery ball machine?

Physicists really have predicted roulette, from Thorp and Shannon's 1961 wearable computer to a peer-reviewed 2012 method with an 18% edge. We examine whether the same tricks could ever touch a lottery ball machine — and why the answer is no.

System Entries Explained: What a System 8 Actually Buys You

A system entry plays every combination of the numbers you pick. Here is exactly how many games that is, what it costs, and what it does to your odds — with the arithmetic shown.

System 8 vs 12 Standard Games — The Odds Compared

Comparing a System 8 with a handful of standard games — and then, more usefully, with the same money spent on unrelated lines. The odds are identical per dollar; the prize pattern is not.

Full Wheel vs Abbreviated Wheel vs Key-Number Wheel

Wheeling is combinatorics with a marketing name. Here are the three structures, the arithmetic behind each, and what the word 'guarantee' means in this context.

Do Wheeling Systems Improve Your Odds? The Honest Answer

Yes, a wheel improves your odds — by exactly the factor by which it increases your spend. What it genuinely changes is the distribution of outcomes, and that is worth understanding.

The Guaranteed-Win Wheel: What 'Guaranteed 3 Numbers' Really Guarantees

'Guaranteed 3 if 4' is a precise mathematical claim — and it promises far less than it sounds like. The logic, worked line by line on a real wheel.

Syndicate Maths: Your Odds Go Up, Your Payout Goes Down — The Exact Trade

Pooling money multiplies your chance of winning and divides what you collect, leaving expected value untouched. What genuinely changes is variance — and that is the real case for a syndicate.

How to Structure a Lottery Syndicate Agreement (and the Case That Proves You Need One)

The largest risk to a syndicate member is not the draw — it is a dispute over who owned the ticket. What to write down, and the documented case showing why.

Office Pool Disputes: What the Documented Cases Actually Turned On

Office pool litigation rarely turns on who is honest. It turns on evidence of who was in, who paid, and which ticket belonged to whom.

Do Syndicates Win More? Analysing the Published Winner Data

Groups are over-represented among jackpot winners for a completely unmysterious reason: they buy more lines. What that does and does not imply.

The Largest Syndicate Wins in History

Record group wins, verified against contemporary reporting, with what each member actually received after the cash option and tax.

Positive Expected Value in a Lottery: When It's Real and When It Isn't

The naive calculation says a billion-dollar jackpot is a bargain. Three adjustments — cash value, tax and jackpot sharing — take it back below the ticket price. Here is all of it, worked.

The Cash WinFall Roll-Down: How MIT Students and a Michigan Couple Legally Made Millions

For seven years, betting syndicates turned a state lottery game into a business — spending about $40 million and winning about $48 million. Nobody broke the law, and the state watched it happen.

Roll-Down Mechanics: How a Must-Be-Won Draw Can Turn Positive

Roll-downs are the one common lottery structure that has produced genuine positive expected value. Here is the mechanism, the arithmetic, and how to recognise one.

How Our Live EV Tracker Works — Methodology

Full methodology for the expected-value figures on this site, including the assumptions that are weakest and why some divisions are deliberately excluded.

Mohan Srivastava and the Scratch-Card Flaw He Found — and Reported

In 2003 a geological statistician found that a scratch game's visible numbers leaked its hidden result. The interesting part is what he did next.

Why Even a +EV Jackpot Usually Isn't Worth Chasing

Suppose a jackpot really did cross into positive expected value. Four separate arguments say you still should not chase it — and none of them is moralising.

The Voltaire Lottery Syndicate of 1729 — The Original +EV Exploit

The first well-documented positive-expected-value lottery exploit was found by a mathematician at a dinner party in 1729, and it made Voltaire rich enough to write freely for the rest of his life.

The Irish Syndicate That Tried to Buy Every Combination in 1992

A mathematician calculated that a rolled-over Irish Lotto jackpot was worth more than the cost of covering every combination. The operator fought back mid-purchase.

Why Lotteries Now Cap or Block Bulk Buying

Every historical lottery exploit ended with a rule change. Those changes are now built into game design from the start — four separate defences, each sufficient alone.

The Kelly Criterion Applied to a Lottery Ticket (Spoiler: Bet Nothing)

Kelly staking is the standard answer to 'how much should I bet given an edge?'. Applied to a lottery ticket it returns a number so small that no human bankroll can act on it.

The '70% of Lottery Winners Go Broke' Claim — and the Organisation That Disowned It

Everyone knows that 70% of lottery winners go broke. The organisation credited with the research has stated plainly that it never conducted it.

The Florida Bankruptcy Study: What the Peer-Reviewed Research Actually Found

The best study of winners' financial outcomes found something more precise and more interesting than the folklore: cash transfers delayed bankruptcy by a few years rather than preventing it.

Does Winning Make People Happier? The Longitudinal Evidence

For forty years the answer was 'no, people adapt'. The best modern evidence — thousands of winners followed for up to 22 years — says otherwise, with an important distinction.

Do Lottery Winners Quit Their Jobs? What the Labour-Supply Studies Show

Economists use lottery wins as a natural experiment in unearned income. The consistent finding: people work somewhat less, and most keep working.

The Neighbour Effect: When Someone on Your Street Wins, Your Bankruptcy Risk Rises

One of the most striking results in the literature: a lottery win harms the winner's neighbours financially, and the mechanism shows up in exactly the goods you would predict.

Winners Who Stayed Anonymous vs Those Who Went Public

Anonymity is the most common advice given to winners. The reasoning is sound; the direct comparative evidence is much weaker than the confidence with which it is offered.

Which Countries Let You Claim a Lottery Prize Anonymously?

Whether you can keep your name out of the press depends entirely on where the ticket was bought. A sourced country-by-country reference.

The First 72 Hours: What to Do If You Actually Win

The decisions that matter most are made before any money moves. The standard advice, with the evidence behind each item.

The Lottery Curse, Fact-Checked

Individual tragedies among winners are real. The claim that they are typical is not, and the statistic underpinning it was never a study.

Winners Who Gave It All Away

Two Canadian cases stand out for the completeness of the giving — and both make an awkward point about what the curse genre leaves out.

What Happens to Unclaimed Jackpots, by Country

Prizes expire, and large ones genuinely do go unclaimed. Where the money ends up depends entirely on the jurisdiction.

The Biggest Unclaimed Lottery Prizes in History

The largest prizes nobody ever collected, with the dates they expired and the deadlines that killed them.

Where Each Pound or Dollar of a Lottery Ticket Actually Goes

Regulators and state lotteries publish the full breakdown. Two audited examples — the UK National Lottery and the Florida Lottery — show where every penny and cent lands.

Are Lotteries a Regressive Tax? What the Spending Data Shows

The regressivity finding is one of the most replicated results in public finance. The common misstatement of it — that poor people play more — is false.

Who Actually Plays the Lottery? Participation by Age, Sex and Country

The Gambling Survey for Great Britain and Gallup both publish participation figures. The age profile is the opposite of every other gambling product.

Lottery Spend Per Adult by Country, With the Arithmetic

Every figure here is a published sales total divided by a published 18+ population, with both shown. Only countries we could source both for are included.

The Good Causes Claim, Examined: Does Lottery Money Add to Public Spending or Replace It?

The money genuinely goes where the law says. Whether it is additional to government spending is a separate question, and the audited accounts answer it awkwardly.

Charity Lotteries vs State Lotteries: Odds, Returns and What the Law Forces

Charity lotteries are a better donation and a worse gamble, and the statutory prize cap is why they look the way they do.

Jackpot Fatigue: Why Operators Keep Making the Jackpot Harder to Win

Lengthening the odds is not a way of keeping more money. It is the only lever an operator has that reliably makes the advertised jackpot bigger.

The History of Jackpot Inflation: Every Major Matrix Change, With the Odds Derived

A dated record of the redesigns that lengthened the world's biggest lottery odds, with every odds figure derived from the published matrix rather than repeated.

Why Lotteries Changed Their Matrices — the Operator's Case and the Player's Bill

Operators do not hide why they lengthen the odds — they publish the reasoning. The interesting work is checking it against what the change did to a ticket.

Lottery Advertising Rules Around the World

Almost every advertising regime treats lotteries as a special case, and the special case is almost always more permissive. Here is exactly where the carve-outs sit.

Who Runs the World's Lotteries? The Companies Behind the Brands

Almost nobody knows who runs the lottery they play. The answer falls into four distinct models, and which one applies changes who profits.

Lottery Couriers Explained: What You Are Actually Buying

Couriers are the one online lottery model where you genuinely own a ticket in the real draw. The regulatory picture is fragmenting fast.

Lottery Betting Sites: Are They Legal, and Are They Safe?

The odds are identical and the counterparty is not. Two governments have legislated against the model, and their reasoning is on the public record.

Why We Overestimate Our Chance of Winning: The Availability Heuristic

The mechanism is not stupidity. It is a well-documented shortcut for judging frequency — combined with an information environment that shows you every winner and none of the 292 million losers.

Near Misses: Why Matching Three Numbers Makes You Buy More Tickets

A near miss carries exactly zero information about the next draw, and yet it reliably increases the urge to play again. The research on why is unusually good.

Why Jackpot Size Drives Sales When It Cannot Change Your Odds

Rollover jackpots produce enormous sales spikes. The odds are unchanged; what changes is how many people you will have to split with.

The Cost of Hope: Is a Lottery Ticket Rational Entertainment Spending?

Economists have a serious model in which buying a ticket is rational. It works — at small, fixed spend. The honest bound is worth stating precisely.

Loss Aversion, Sunk Costs and 'What If My Numbers Come Up After I Stop?'

Three separate, well-evidenced biases converge on the same lottery decision, and all three push the same way. The arithmetic on the fear itself is straightforward.

Why People Won't Swap Their Regular Numbers, Even for a Premium

Two identical-probability tickets are not psychologically identical once one of them is yours. The experiment that isolated why is unusually clean.

Scarcity, Deadlines and the Psychology of Draw-Night Marketing

Most retail urgency is fake. A draw close time is not. That is what makes lottery deadline marketing unusually effective, and unusually worth understanding.

Lottery Play and Financial Stress: What the Research Actually Links

Several independent findings point the same way. The direction of causation is the part the research still cannot settle, and saying otherwise would overstate it.

Why Responsible-Gambling Messaging Mostly Fails, and What Does Better

The slogans have been tested. Most do not move behaviour. The findings that do show an effect point at design rather than words — and the evidence base is thinner than the confidence around it.

What $20 a Week Becomes If You Invest It Instead

Twenty dollars a week for forty years is $41,600 of contributions. Compounded weekly at an assumed 7% it is $229,004. Here is the formula, the full derivation, and every reason the second number might not arrive.

Prize-Linked Savings: The Lottery You Cannot Lose

A prize-linked savings account pays no interest. It pools everyone's interest and raffles it, while every depositor keeps their capital. It is three centuries old, and the research on it is more careful than the marketing.

UK Premium Bonds: The Mean Is 4.35%, the Median Is Not

NS&I publishes a prize fund rate and odds. Both are accurate and neither describes what a typical holder gets. Here is the distribution, derived from the published September 2026 prize table.

Prize-Linked Savings Around the World: A Sourced Country List

Prize-linked savings exists on every continent, but a lot of what circulates online is stale. This list separates what we verified this month from what is documented only in the academic record.

Index Funds vs the Lottery: Two Distributions, Side by Side

This is not an argument that one is good and the other is bad. It is a description of two probability distributions, with the same money put through each for ten years.

Things More Likely Than Winning the Jackpot — Only the Ones We Can Prove

The genre is full of invented numbers. This version includes only comparisons we can derive exactly or cite to a real published statistic — and lists the popular ones we threw out.

Realistic Paths to a Windfall, Ranked by How They Actually Work

If the goal is a life-changing amount of money rather than a life-changing amount of luck, there are four routes. None is easy. All four have arithmetic you can check.

Setting a Lottery Budget You Will Not Regret

Treat a ticket as entertainment and the question becomes what entertainment is worth to you. Treat it as an investment and the arithmetic answers before you finish asking.

How Much Capital Generates a Lottery-Winner Income?

The arithmetic is one division. The controversy is entirely in the denominator, and nobody has settled it. Here is the table, and an honest account of how contested the input is.

Five Years of Scratch Cards vs Five Years of a Savings Account

Scratch cards pay back far more than draw games — a sourced 76.07% in Michigan's audited accounts. Run the same $20 a week through both routes for five years and the gap is $1,256.

How Lottery Scams Work: The Advance-Fee Model, End to End

Every version of the fake-prize scam runs the same machine. Understanding the shape of it is more useful than memorising any particular script.

How Big Is the Lottery Scam Problem? The FTC's Own Numbers

The Federal Trade Commission publishes the only large-scale public dataset on prize fraud. Here is what the current edition says, what the numbers mean, and what they systematically miss.

Ten Red Flags in a Lottery Win Notification

A checklist you can run in under a minute, with the reasoning behind each item. Most notifications fail at the first one.

No Real Lottery Notifies Winners by Email or Social Media

This is not a policy that could change — it is a consequence of how tickets work. Understanding why makes every fake notification obvious on arrival.

How to Verify a Lottery Operator's Licence, by Country

Almost every gambling regulator publishes a searchable register of who it has licensed. Checking one takes about two minutes, and it settles most questions outright.

Ticket Theft and Retailer Fraud: The 'You Didn't Win' Scam

The most consequential lottery fraud is not the email from a stranger. It is the person behind the counter, and one investigation documented it in detail.

Targeted by a Lottery Scam? What to Do, and Where to Report

The steps are short and the reporting routes are free. Reporting is worth doing even when the money is gone, because aggregate reports are what regulators act on.

Social Media Prize Draws and Impersonated Lottery Accounts

The fake-prize scam moved to social platforms because impersonating an account is easier than impersonating an email domain. The verification method is the same in reverse.

Are Online Lottery Apps Legitimate? How to Tell the Three Kinds Apart

Most confusion about lottery apps comes from treating them as one category. They are three, and the difference decides who owes you the money if you win.

Are Lottery Winnings Taxed? A Complete Country-by-Country Table

Whether you keep your prize depends entirely on where the ticket was bought. The complete sourced reference, with the rates verified for 2026.

US Lottery Tax: The Actual Take-Home on a $100 Million Jackpot

Four deductions stand between a US headline jackpot and your bank account. Worked in full, in order.

UK Lottery Wins Are Tax-Free — But Here's What You Pay Afterwards

The prize itself is genuinely untaxed in the UK. Every pound it subsequently earns is taxed normally, and the inheritance tax question catches people out.

Australia: Tax on Lottery Prizes and the Income They Generate

Powerball, Oz Lotto and Saturday Lotto prizes are paid in full and never appear on your tax return. The ATO's interest begins the moment you invest.

Canada, Ireland, New Zealand, South Africa and India — Prize Tax Compared

Five jurisdictions, four of which take nothing and one of which takes almost a third. The rules, the thresholds and what each catches afterwards.

Winning a Foreign Lottery: Double Taxation and Withholding

A tax-free country of residence does not protect you from the source country's withholding — and the reverse trap catches people too.

Lump Sum vs Annuity: Running the Numbers for Your Own Jurisdiction

In a tax-free country the choice is pure discount-rate arithmetic. In a taxing one, the tax treatment can dominate the maths entirely.

How Long You Have to Claim, by Game

Claim windows vary by a factor of eighteen between jurisdictions, and they are enforced absolutely.

Claiming Anonymously: The Trusts and Structures Used

The structures exist, they are jurisdiction-specific, and the window to use them closes the moment you sign the ticket.

How Scratch Card Odds Work — and Why They Change as Tickets Sell

Draw games generate a result when you play. Instant games printed theirs months ago — which means the odds genuinely change as the game sells through.

Prizes Remaining: How to Check Before You Buy

The single most useful piece of public data in the lottery world, and how to turn it into an expected value rather than a vibe.

The Expected Value of a Scratch Card, Calculated Properly

Scratch EV is genuinely computable — unlike a draw game's, it depends on how much of the deck is left. Here is the full method.

Why the Odds Printed on the Back Are Not the Odds You Face

The printed figure is accurate and misleading at the same time — because it measures how many tickets win, not how much they win.

Which Scratch Card Price Point Has the Best Return?

Expensive scratch cards genuinely return a higher percentage. Whether that makes them a better purchase is a different question.

Do Scratch Cards Have Better Odds Than the Jackpot Draw?

Scratch cards genuinely beat draw games on every static measure. They lose decisively on the one measure that determines what you actually spend.

The Statistics of 'Guaranteed Winner' Packs

Buying a whole roll guarantees you winning tickets. It does not guarantee — and on the published payout percentages cannot deliver — a profit.

Scratch Card Design and Why the Near-Miss Is Deliberate

Instant game layouts are engineered artefacts. The near-miss is the clearest example of design doing psychological work.

Every Lottery Jackpot Over $500 Million, Ranked

A sourced ranking of every lottery jackpot ever advertised above half a billion dollars, with the number of winning tickets — and the reason the headline figure is not the money anyone received.

The Most Drawn Number in Every Lottery — and Why That Question Has No Fixed Answer

The most-drawn number is a real, computable fact about a draw history — and it tells you nothing. The order statistics show exactly how large a lead pure randomness is expected to produce.

The Unluckiest Number in Every Lottery — the Statistics of the Least-Drawn Ball

The coldest ball is the mirror image of the hottest, and it is manufactured by the same process: taking the most extreme of many counts and reporting it as if it were the only one.

How Long Can a Number Go Without Being Drawn? The Overdue-Number Arithmetic

"Overdue" numbers are real gaps in a real draw history. Here is the distribution they come from, the expected longest drought, and why the wait after a long absence is unchanged.

When the Same Numbers Came Up Twice

Repeat draws are documented, investigated and cleared. They are also predicted: the birthday problem says a six-number game will repeat itself far sooner than the jackpot odds suggest.

The Triple Six Fix: How Pennsylvania's Lottery Was Rigged in 1980

The most famous lottery rigging in American history took a paintbrush, a television studio and eight people — and it was undone by the one thing the plotters could not disguise: the betting.

The Bulgarian Lottery That Drew the Same Six Numbers Twice in a Row

Consecutive identical draws triggered a ministerial investigation, a commission and a national argument. The commission cleared the lottery, and the second draw's eighteen winners explain more than the coincidence does.

The Fortune Cookie Draw: 110 Powerball Winners on One Night

Powerball officials suspected fraud when 110 tickets matched five numbers in a single draw. The explanation was a Long Island noodle factory — and a lesson in why ticket outcomes are not independent.

Lotteries Through History: From Han Dynasty Keno Slips to the Sydney Opera House

Lotteries have funded town walls, harbours, colonies, universities and an opera house. A sourced chronology — with the popular claims we could not verify left out.

Where Lotteries Are Banned — and Why the List Keeps Shrinking

Prohibitions fall into three families — religious, revolutionary and commercial — and the map moves. The UAE went from an outright ban to a licensed national lottery inside a year.

The World's Oldest Lottery Is Dutch, and It Turns 300 in 2026

The record is not for the oldest lottery ever held — those are medieval. It is for the oldest that never stopped, and the Dutch state lottery has been drawing for three centuries.

The Largest Single-Ticket Lottery Win in Each Country

A record jackpot and a record win are different things. This lists only wins we could confirm went to one ticket, country by country — and names the ones we could not.