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The Man Who Gamed the Lottery: Stefan Mandel's 14-Win Formula

Romanian economist Stefan Mandel won the lottery 14 times across three countries. His method was mathematically sound, completely legal, and has since been made impossible to replicate.

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The Probability Lab Team
August 7, 2025

In 1964, Romanian economist Stefan Mandel needed money. Desperately. His salary as a government economist covered basic necessities in Communist Romania, nothing more. He turned to a tool that economists rarely apply to their own finances: mathematics.

Mandel analyzed the Romanian national lottery and discovered something that would define his next three decades. He did not find a way to predict lottery numbers. He found a way to make buying lottery tickets a positive expected-value investment — and then win the lottery 14 times across Romania, Australia, and the United States.

The fundamental insight

A lottery becomes a positive-EV investment when the jackpot exceeds the cost of buying every possible ticket combination. If a lottery has 1 million possible combinations and tickets cost $1 each, total cost = $1 million. If the jackpot exceeds $1 million and you buy every combination, you are guaranteed a profit — assuming you win the jackpot and account for smaller prizes that also pay out.

Lottery Coverage Profitability Condition
Profit condition:
  Jackpot + (Expected secondary prizes) > Cost of all combinations

For a simple 6/49 lottery:
  Combinations = C(49,6) = 13,983,816
  Ticket cost   = $1 each
  Total cost    = $13,983,816

  Jackpot must exceed ~$13M (minus secondary prize revenue)
  to guarantee profit when covering all combinations.

For smaller lotteries: far fewer combinations, much more achievable.

The Romanian escape

In Romania, Mandel played a 6/49 lottery — but the state-run lottery had occasionally small jackpots. He used a different approach: he identified a combinatorial method to guarantee covering all possible outcomes with far fewer tickets than brute force, by structuring "condensed combinatorial" ticket sets. He organized a syndicate of 72 people, pooled their wages, and won. He repeated this twice, then used the winnings to emigrate — first to Israel, then to Australia.

Australia: scaling up

In Australia in the 1980s, Mandel found a 6/40 lottery with only 3.8 million possible combinations — manageable. Australian lottery rules allowed buying pre-filled tickets in bulk. He organized a syndicate, bought nearly every combination across multiple draws when jackpots had rolled over sufficiently, and won the jackpot and secondary prizes multiple times. His wins in Australia alone totaled several million dollars.

The Virginia Lottery: peak operation

In 1992, Mandel identified the Virginia State Lottery. A 6/44 game with 7.1 million combinations at $1 each. The jackpot had rolled over to $27 million. The math was clear: total ticket cost ≈ $7.1M, guaranteed jackpot = $27M, secondary prizes ≈ additional millions. A guaranteed profit of roughly $15–20 million.

Mandel organized an international syndicate of 2,524 investors across 14 countries. He printed 7.1 million unique tickets in advance using a computer system in Australia. Trucks full of printed tickets arrived at Virginia convenience stores days before the draw. His team filled in tickets around the clock. They covered 5 million of the 7.1 million combinations before time ran out — but they had the winning ticket.

He won the $27 million jackpot. After taxes and investor payouts, his personal take was modest — but legal. The Virginia Lottery launched a criminal investigation. The FBI investigated. The Securities and Exchange Commission investigated. After years of scrutiny, investigators concluded: every element of the operation was legal.

The aftermath

Every major lottery on Earth subsequently changed its rules. Virginia banned bulk pre-purchased tickets. Most lotteries now require tickets to be purchased in-state, in person, one at a time. The mathematical loophole Mandel exploited has been legislated out of existence.

Mandel retired to a South Pacific island. He had used pure mathematics to extract a guaranteed profit from a system designed to make profit impossible. The lottery industry responded not by making the odds fairer — they remain extremely negative EV for ordinary buyers — but by making it impossible to buy enough tickets to guarantee a win.