One man’s modus tollens is another man’s modus ponens… From Wikipedia on Ireland’s National Lottery:
“In a 6⁄36 lottery, the odds of matching all six numbers and winning the jackpot are 1 in 1,947,792. At Lotto’s initial cost of £0.50 per line, all possible combinations could be purchased for £973,896. This left Lotto vulnerable to a brute force attack, which happened when the jackpot reached £1.7 million for the May 1992 bank holiday drawing. A 28-member Dublin-based syndicate, organized and headed by Polish-Irish businessman Stefan Klincewicz, had spent six months preparing by marking combinations on almost a quarter of a million paper playslips. In the days before the drawing they tried to buy up all possible combinations and thus win all possible prizes, including the jackpot.
The National Lottery tried to foil the plan by limiting the number of tickets any single machine could sell, and by turning off the terminals Klincewicz’s syndicate was known to be using heavily. Despite its efforts, the syndicate did manage to buy over 1.6 million combinations, spending an estimated £820,000 on tickets. It had the winning numbers on the night—but two other winning tickets were sold, too, so the syndicate could claim only one-third of the jackpot, or £568,682. Match-5 and match-4 prizes brought the syndicate’s total winnings to approximately £1,166,000, representing a profit of approximately £310,000 before expenses.”
One man’s modus tollens is another man’s modus ponens… From Wikipedia on Ireland’s National Lottery: