The mathematics of odds
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.
Put every product on one axis — prizes returned per unit staked — and the spread is enormous. This is that league table, built only from regulator filings and audited accounts, followed by the structural explanation for the gap.
| Product | Return to player | Basis |
|---|---|---|
| New York video lottery terminals | 94.04% | FY2025 audited: $40,986m played, $38,542m won |
| Nevada slots, $5 denomination | 95.47% | 12 months to 30 Jun 2026, statewide |
| Nevada slots, all denominations | 92.88% | 12 months to 30 Jun 2026, 125,708 machines |
| Nevada slots, 1-cent denomination | 91.13% | same report |
| Michigan online instant games | 89.43% | FY2025 gross handle basis |
| Michigan retail scratch tickets | 76.07% | FY2025 audited, per-game schedule |
| Massachusetts Lottery, all products | 74.07% | FY2025, scratch-dominated |
| Michigan Club Keno | 64.55% | FY2025 audited |
| The Lottery Corporation (Australia), lotteries + keno | ~62% | FY2026: $5.1bn prizes on $8,206m turnover (derived) |
| Australian draw games | 60% designed (55% pool + 5% reserve) | NSW/QLD/WA statutory rules |
| UK National Lottery, all products | 55.17% | FY2024-25 regulator figures |
| Michigan Lotto 47 | 55.42% | FY2025 audited |
| US Powerball | 50% designed / 51.39% realised | Rule 14.A; Michigan FY2025 |
| UK Lotto | 50% designed | Game Procedures |
| Michigan Daily 3 | 49.37% | FY2025 audited |
| Mega Millions | 55% designed / 48.75% realised | Iowa rules; Michigan FY2025 |
The slot figures are the Nevada Gaming Control Board's monthly revenue report, which publishes a "win percent" that its own introduction defines as "the reported win amount divided by the total dollar amount played by patrons" — the exact complement of RTP. Statewide slot win was 7.12%, so RTP was 92.88%. Everything else is sourced in return to player by game.
Note the internal ordering within slots: the cheapest machines pay back the least. Penny slots hold 8.87% against $5 slots' 4.53%.
The answer is entirely visible in the UK's published breakdown of where each £1 of ticket money goes (Gambling Commission, FY2024-25):
| Destination | Pence per £1 | What it is |
|---|---|---|
| Prizes | 55 | the return to player |
| Good causes | 23 | a statutory obligation, not a business cost |
| Lottery Duty | 12 | HMRC, levied on stakes |
| Operator costs and profit | 7 | running the game |
| Retailer commission | 3 | the newsagent's cut |
Four of those five lines are absent, or radically smaller, in a casino:
1. Good causes. A lottery exists, legally, to raise money for causes. Twenty-three pence in the pound is a purpose, not an overhead. A slot machine has no equivalent obligation. This single line accounts for nearly half the gap between 55% and 93%.
2. Tax base. UK Lottery Duty is "12% of all stake money" with "no deductions" (HMRC). Remote Gaming Duty on casino games is charged on a completely different base: "your profits are the amounts due to you as stakes… less amounts paid out as winnings" (HMRC). Taxing turnover forces the payout down; taxing profit does not. A game taxed at 12% of stakes must find that 12p before a single prize is paid.
3. Retail margin. Physical lottery tickets are sold through tens of thousands of independent shops that take a commission on every sale — 3p in the UK, 5% by statute in Texas. Online products have no such layer, which is exactly why Michigan's online instants (89.43%) outpay its retail scratch cards (76.07%).
The same four lines explain why Australia sits ten points higher than Britain. Australian draw games are required to allocate 60% of subscriptions to prizes, and The Lottery Corporation reports that "27 cents in every dollar spent on a typical lottery ticket is returned to state and territory governments" — a smaller government take than the UK's combined 23p of good causes plus 12p of Lottery Duty, and the difference lands in the prize fund.
4. Prize structure and volatility. Roughly a third of a draw game's prize fund is committed to a jackpot that usually is not won, and therefore rolls. That money is eventually paid out, but the game is designed around a large, lumpy, deferred prize; a slot machine returns almost all of its money in small, immediate increments, which is cheap to administer and produces no rollover liability.
A 92.88% machine sounds nine times kinder than a 50% lottery. It is not, and the reason is that RTP is measured per stake, not per pound you walked in with.
Buy £100 of UK Lotto tickets. You stake £100 once. Your expected return is £50, your expected loss is £50, and the transaction is over.
Put £100 into a slot machine at 92.88% and play £1 spins. Each spin loses 7.12p in expectation, but the winnings return to the machine and get staked again. After 200 spins you have staked £200, not £100. Expected loss:
200 spins × £1 × 0.0712 = £14.24
After 1,000 spins — perhaps forty minutes at a modest pace — you have staked £1,000:
1,000 × £1 × 0.0712 = £71.20
And at 1,404 spins the expected loss reaches the entire £100:
£100 ÷ £0.0712 = 1,404 spins
The number that determines your loss is handle (total amount staked), not deposit. A high RTP simply means each individual stake is cheap, which permits an enormous number of stakes per hour. A lottery draw allows one stake per draw, two or three times a week. That structural difference — stakes per hour — matters far more to a player's outcome than the RTP percentage does.
expected loss = total amount staked × (1 − RTP)
Both halves matter, and gambling products differ in the first half by a factor of thousands.
Comparing like with like. Within draw games, the spread is real and actionable: Mega Millions realised 48.75% in Michigan against Powerball's 51.39% in the same state and year, at two and a half times the ticket price. Within scratch cards, price points differ — Texas's closing analysis for one $2 game records a "Printed Payout Percentage" of 65.07%, well below the 76% category average, and cheap tickets systematically pay back less.
Sanity-checking marketing. "Over £100 billion paid out in prizes" is true and tells you nothing without the denominator. Prizes ÷ sales is the only version of that claim that means anything.
Understanding a roll-down. The one time a draw game's payout leaps is when accumulated jackpot money is forced into a single draw — briefly pushing a draw's return above 90%, into slot-machine territory. That mechanism, and the arithmetic of it, is in Must Be Won draws and roll-downs.
What the table cannot do is tell you which product is safer. That depends on how fast you can stake, not on how much comes back per stake — and on that measure the ranking inverts completely.
Last verified: 2026-08-29