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Case file · Buying the whole space

The Man Who Bought the Lottery

no illegality foundVirginia, United States15 February 1992

Stefan Mandel was a Romanian economist, and his idea was not a system for picking numbers. It was the observation that a lottery is a finite object.

A 6-of-44 game has exactly 7,059,052 possible tickets. If a ticket costs a dollar and the jackpot is worth more than seven million, then buying every ticket is not gambling. It is shopping.

The Buy-the-Pot Console

Virginia 1992 — 6 of 44. What does it cost to own every outcome, and what happens if you run out of time?

combinations
7,059,052
cost to cover all
$7,059,052
printing time at 100/sec
0.8 days
jackpot needed to break even
$7,059,052

Your guarantee is 100.0%. The Virginia jackpot was $27,036,142 — 3.8× the cost of the field. When the printing stopped at roughly 6.4 million tickets, that is the number the syndicate had to live with.

Mandel won fourteen jackpots across three countries before he arrived at Virginia's game in February 1992. The jackpot stood at $27,036,142 — nearly four times the cost of the entire field.

The hard part was never the mathematics. It was the printing. Seven million tickets have to be physically produced, filled in, paid for and lodged, by people, against a deadline, in a jurisdiction that did not anticipate anyone trying. Mandel's operation ran on a syndicate of investors, banks of printers, and couriers moving stacks of paper to retailers who had never handled anything like it.

And then one of those retailers stopped.

Mid-operation, with the clock running, a retailer declined to keep going. When the draw came, the syndicate held roughly 6.4 million of the 7,059,052 combinations — about ninety per cent of the field, and a ten per cent chance that the one ticket they needed was among the ones they had failed to print.

The numbers came out 8-11-13-15-19-20. They had it.

Investigations followed, in Virginia and elsewhere, and found that no law had been broken. Rules changed afterwards — limits on bulk purchasing, restrictions on how many tickets a retailer may print — which is the usual sign that something legal has nevertheless been found intolerable.

The method is now structurally extinct, and not because anyone banned it. Modern formats simply grew. A game with a separate bonus pool has hundreds of millions of combinations rather than seven million, and the cost of the field passed the size of the jackpot somewhere in the 1990s and never came back.

He never predicted a single number. He removed prediction from the game entirely.

He never predicted a single number. He removed prediction from the game entirely.

∑Aftermath & sources

The documented record

  • Stefan Mandel won 14 lottery jackpots across three countries.
  • Virginia’s 6-of-44 game has C(44,6) = 7,059,052 combinations, at $1 each, against a $27,036,142 jackpot.
  • A retailer stopped printing mid-operation; roughly 6.4 million of the 7,059,052 combinations were covered.
  • The winning numbers were 8-11-13-15-19-20. The operation was investigated and found to have broken no law; rule changes followed.
  • arXiv:2408.06857 traces the covering-design roots of Mandel’s earlier method.
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Every claim in these pages is drawn from the documented record listed with each case. Convictions are described as convictions, investigations as investigations, and findings of legality as findings of legality.