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The Wrong Kind of Random

The Wrong Kind of Random

In real piles of money, 1 leads a third of the time. These slips had almost none.

The gym smelled like popcorn and floor wax, and everyone had gone home except Maya and Soren, who had lost the coin toss to Mr. Deraj about who counted the donation slips.

"He said an hour," Soren said. "There are four hundred slips."

"He also said the total was already known," Maya said. "So why are we counting?"

"Because the bank envelope says one thing and the log says another." Soren spread the slips across the free throw line in rows. "Forty-one dollars off. He wants to know where."

Maya picked up a slip, read it, put it down. Picked up another. She was not reading the amounts so much as letting them wash past her, the way you watch a train and don't count the cars.

"These are weird," she said.

"Weird how."

"Too many eights." She fanned a handful at him. "Eighty. Eighty-five. Eighty-eight. Sixty. Fifty. Where are the little ones?"

Soren looked at the slip in his own hand. Twenty dollars. The next. Seventy. The next. Fifty again.

"People just gave round numbers," he said. "Fives and tens. That's normal."

"No." Maya was already moving, sliding slips into piles by their first digit. "Not the round part. The front part. The first number you read."

Soren watched her build ten little towers on the gym floor, one through nine and a sad stump of zeros she pushed aside. He crouched. The tower for eight was tall. The tower for nine was tall. The tower for one was short, barely a lean.

"That's backwards," he said slowly.

"Backwards from what? It's donations. It's random."

"That's the thing." He pulled his notebook out of his back pocket and flipped past the ferry timetable he'd copied last week. His pencil moved down a column. "When my uncle audits, he told me something once and I thought he was messing with me. In real piles of numbers, the ones win. The number one shows up in front more than anything else. Like a third of the time."

Maya stopped. "A third. Out of nine choices."

"About thirty out of a hundred. And nine is the rarest. It's almost never in front."

"That's insane."

"I said that too. He made me check the phone bill. And the electric bill. And the little sticker prices in a catalog." He tapped the notebook. "Ones everywhere. Front of everything."

Maya sat down cross-legged in front of the towers. "Why, though."

"He wouldn't tell me why. He said the why is still argued about."

"But there has to be a reason a one wins."

Soren thought about it, pencil against his lip. "Okay. Think about growing. Say you have one dollar and you want two. You have to double. That's a hundred percent more, that's huge, that takes forever."

"So it sits at one for a long time."

"Right. But once you're at ninety, getting to a hundred is just a little push. You blow past the nines fast. You crawl through the ones." He drew a slow curve, then a steep one. "Anything that grows by multiplying instead of adding spends most of its life wearing a one out front. Populations. Rivers. Prices. The size of stars, even."

Maya looked at the short lonely tower of ones on the gym floor. "So real money should have a fat one pile."

"Fattest pile there is."

"And ours is the smallest." She said it quietly. "Soren. These slips didn't grow. Somebody made them up."

Soren went very still. Then he started counting the eight pile, out loud, and it came out too high, and the nine pile too high, and the one pile too thin to be a real pile of anything.

"When you invent numbers," he said, "you spread them out even. You think random means fair. One as much as nine."

"But random isn't fair," Maya said. "Random is lumpy. Real random loves the ones." She laughed, a short surprised laugh. "We can see somebody lying just by which numbers they picked. Not the words. The shape."

"Not all of them," Soren said. He was already pulling slips out of the tall towers, reading them. "Look. These are in the same pen. Same slant. Eighty-eight, ninety, eighty. All in a row of slip numbers, so they were filled out at the end." He held one up to the gym light. "And this one has the amount pressed hard, like it was traced."

Maya gathered the suspect slips into a separate square. They added them. Forty-one dollars.

Neither of them said anything for a second. Out in the hall a janitor's cart squeaked and faded.

"He'll think we're accusing somebody," Soren said.

"We're not. We're saying the numbers are the wrong kind of random." Maya picked up one of the traced slips and turned it over and over, as if the back might say who. "That's different. That's just math being honest about people."

"It's kind of terrifying," Soren said, but he was grinning while he said it. "You can't hide inside numbers. You think you're picking them and they're picking you."

"Everybody who ever made up a number," Maya said. "Every made-up tax form. Every fake science result. Every time somebody guessed instead of counted. The ones are missing. It's like a fingerprint you leave without knowing your hand is dirty."

Soren wrote a single line under his uncle's old column. Then he looked at the real slips, the honest crumpled ones from the actual booth, and started a fresh set of towers beside the fake ones, just to see.

The real pile grew a tall, fat one out front, exactly the way his uncle said it would, exactly the way a river would, or a country's worth of bank accounts, or the distances between stars.

Maya leaned over the two sets of towers, the honest lopsided one and the flat invented one, and looked back and forth between them like she was reading two different handwritings of the same sentence.

"Count the front numbers," she whispered. "On anything. On everything."

Soren slid the real slips into the envelope and set the forty-one dollars of fakes in the middle of the free throw line, where Mr. Deraj would see them first, the eights and nines standing tall in a row that no honest pile of money in the world would ever stand.

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