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Of course, it would be really nice if the computer could just spit out random digits. Srivastava's startling insight was that he could separate the winning tickets from the losing tickets by looking at the number of times each of the digits occurred on the tic-tac-toe boards. Srivastava had correctly predicted 19 out of the 20 tickets. If I know the forces, I can decipher the samples. These high-frequency players tend to be poor and uneducated, which is why critics refer to lotteries as a regressive tax. He realized that the singletons were almost always repeated under the latex coating. Srivastava speaks quietly, with a slight stammer. When Srivastava reported his finding, he was referred to Rob Zufelt, a member of the lottery corporation's security team. Although extended-play games—sometimes referred to as baited hooks—tend to look like miniature spreadsheets, they've proven extremely popular with consumers. In some states , the lottery accounts for more than 5 percent of education funding. As a result, many state lotteries have redesigned their tickets. Walking back from the gas station with the chips and coffee he'd bought with his winnings, he turned the problem over in his mind. The tickets were cheap scratchers—a gag gift from his squash partner—and Srivastava found himself wondering if any of them were winners. Srivastava matched up each of his numbers with the digits on the boards, and much to his surprise, the ticket had a tic-tac-toe. In the 18th and 19th centuries, lotteries funded the expansion of Harvard and Yale and allowed the construction of railroads across the continent. The first lottery Mohan Srivastava decoded was a tic-tac-toe game run by the Ontario Lottery in He was able to identify winning tickets with 90 percent accuracy.{/INSERTKEYS}{/PARAGRAPH} The trick itself is ridiculously simple. The thrill of winning had worn off; he forgot about his lunchtime adventure. I'll never forget what it said: 'If you do it that way, if you use that algorithm, there will be a flaw. No wonder players get hooked. At first, he tried to brush it aside. It took a few hours of studying his tickets and some statistical sleuthing, but he discovered a defect in the game: The visible numbers turned out to reveal essential information about the digits hidden under the latex coating. Srivastava realized that the same logic could be applied to the lottery. While approximately half of Americans buy at least one lottery ticket at some point, the vast majority of tickets are purchased by about 20 percent of the population. However, these grandiose dreams soon gave way to more practical concerns. He has a neatly trimmed beard and a messy office. The second ticket was a tic-tac-toe game. He bought 20 tic-tac-toe tickets and sorted them, unscratched, into piles of winners and losers. I'm gonna plunder the lottery! And yet, his inner voice refused to pipe down. You will be able to plunder the lottery. After failing to make contact for a few days, he began to get frustrated: Why wasn't Zufelt taking his revelation more seriously? There are fundamental geologic forces that created those numbers. By the time he reached the office, he was confident that he knew how the software might work, how it could precisely control the number of winners while still appearing random. Ticket designers fill the cards with near-misses two-in-a-row matchups instead of the necessary three and players spend tantalizing seconds looking for their win. The goal was to scrape off the latex and compare the numbers under it to the digits on the boards. His next thought was utterly predictable: "I remember thinking, I'm gonna be rich! In a survey, 30 percent of people without a high school degree said that playing the lottery was a wealth-building strategy. And this meant that the lottery system might actually be solvable, just like those mining samples. These tickets have a grand history: Lotteries were used to fund the American colonies and helped bankroll the young nation. The next day, the tic-tac-toe game was pulled from stores. As a trained statistician with degrees from MIT and Stanford University, Srivastava was intrigued by the technical problem posed by the lottery ticket. Maybe you can give one batch to your lottery ticket specialist. Delighted, he decided to take a lunchtime walk to the gas station to cash in his ticket. In the enclosed envelopes, I have sent you two groups of 10 TicTacToe tickets that I purchased from various outlets around Toronto in the past week You go ahead and scratch off the cards. And a few numbers appeared only once on the entire card. Srivastava thought its top officials might want to know about his discovery. I can figure out how much gold is underground. Each sample gives a different estimate of the amount of mineral underground. Since , when New Hampshire introduced the first modern state lottery, governments have come to rely on gaming revenue. Forty-three states and every Canadian province currently run lotteries. Who knows, maybe they'd even hire him to give them statistical advice. But then, as he walked by the gas station later that evening, something strange happened. The game will be flawed. Then, he couriered the package to Zufelt along with the following note:. No wonder they didn't want to talk to me. In other words, he didn't look at the ticket as a sequence of 72 random digits. He fished a coin out of a drawer and began scratching off the latex coating. I'd simply done the math and concluded that beating the game wasn't worth my time. But to be honest, I make more as a consultant , and I find consulting to be a lot more interesting than scratch lottery tickets. Each ticket contained eight tic-tac-toe boards, and each space on those boards—72 in all—contained an exposed number from 1 to As a result, some of these numbers were repeated multiple times. Srivastava had been hooked by a different sort of lure—that spooky voice, whispering to him about a flaw in the game. But that's not possible, since the lottery corporation needs to control the number of winning tickets. If three singletons appeared in a row on one of the eight boards, that ticket was probably a winner. When he talks about a subject he's interested in—and he's interested in many things, from military encryption to freshwater fossils—his words start to run into each other. There was a time when scratch games all but sold themselves. One important strategy involves the use of what lottery designers call extended play. After analyzing his results, Srivastava realized that the singleton trick worked about 90 percent of the time, allowing him to pick the winning tickets before they were scratched. After you've scratched them off, you should have a pretty solid sense for whether or not there's something fishy here. The day after that he picked up even more tickets from different stores. Instead of secretly plundering the game, he decided to go to the Ontario Lottery and Gaming Corporation. But in the past two decades the competition for the gambling dollar has dramatically increased. Its design was straightforward: On the right were eight tic-tac-toe boards, dense with different numbers. The package was sent at 10 am. That night, however, he realized that the voice was right: The tic-tac-toe lottery was seriously flawed. These were also breakable. If three of "Your Numbers" appeared on a board in a straight line, you'd won. Instead, it has to generate the illusion of randomness while actually being carefully determined. The next day, on his way into work, he stopped at the gas station and bought a few more tickets. The game can't be truly random. That afternoon, he went back to work. {PARAGRAPH}{INSERTKEYS}Mohan Srivastava, a geological statistician living in Toronto, was working in his office in June , waiting for some files to download onto his computer, when he discovered a couple of old lottery tickets buried under some paper on his desk. Instead, he categorized each number according to its frequency, counting how many times a given number showed up on a given ticket. He was just curious about the algorithm that produced the numbers. Two hours later, he received a call from Zufelt. Srivastava would later teach it to his 8-year-old daughter. The apparent randomness of the scratch ticket was just a facade, a mathematical lie. You will be able to crack the ticket. Nothing needed to be scratched off—the ticket could be cracked if you knew the secret code. A typical assignment for Srivastava goes like this: A mining company has multiple samples from a potential gold mine. That's not bad. Instead of just scratching off the latex and immediately discovering a loser, players have to spend time matching up the revealed numbers with the boards. In fact, it reminded him a lot of his day job, which involves consulting for mining and oil companies. Sure enough, all of these tickets contained the telltale pattern. Perhaps the number 17 was repeated three times, and the number 38 was repeated twice. On the left was a box headlined "Your Numbers," covered with a scratchable latex coating.