After-school library. Yuki was reading materials alone.
"May I sit?"
Looking up, Mira was standing there.
"Of course," Yuki smiled.
Mira sat quietly and opened her notebook. Silent as usual. But Yuki found the silence comfortable.
"Mira, why Japan?" Yuki asked.
Mira pondered. "Probabilistic event."
"Probabilistic event?"
"Many small probabilities, multiplied. Led me here."
Yuki understood. "Accumulation of chances."
"Yes. Every choice, every moment, changed probability."
Mira wrote a formula in her notebook.
"P(here) = P(scholarship) × P(choosing Japan) × P(this school) × ..."
"Product of all probabilities," Yuki read.
"Very small. But happened."
"Like a miracle."
Mira smiled. "Low probability events carry high information."
"High information content," Yuki nodded. "-log₂(p). The smaller p, the greater the information."
"So meeting you, high information event."
Yuki blushed slightly. "I'm also fortunate to have met you, Mira."
"Not luck. Probability."
"They're different?"
"Luck implies randomness without structure. Probability has structure."
Yuki showed interest. "What structure?"
"Conditional probabilities. P(meeting|being in club room) higher than P(meeting)."
"Conditional probability," Yuki understood. "Given the condition that I'm in the club room, the probability of meeting increases."
"Yes. We created conditions. Increased probability of meaningful encounters."
Yuki thought. "So encounters aren't completely random."
"No. We guide probabilities. Through choices, actions, presence."
Mira wrote another formula.
"P(friendship) = f(time together, shared interests, mutual understanding)"
"Probability of friendship is a function," Yuki read. "A function of time spent together, shared interests, mutual understanding."
"We can increase it. By choosing to spend time, to understand."
Yuki smiled. "Effort to increase probability."
"Yes. Not passive waiting. Active probability engineering."
"Probability engineering," Yuki savored the new term.
Mira looked out the window. "In infinite parallel universes, maybe we never met."
"Parallel universes?"
"Thought experiment. In some, I stayed home. In some, you chose different club."
Yuki understood. "But in this universe, we met."
"Yes. This timeline, this probability path."
"So it's precious?"
Mira nodded. "Precious because improbable."
Yuki looked at Mira's notebook. Formulas and diagrams. A web of probability distributions and conditional probabilities.
"Mira, you think about everything in terms of probability."
"Helps me understand. World is probabilistic, not deterministic."
"Not deterministic."
"Future is distribution of possibilities. We choose which to increase."
Yuki said quietly. "You I met probabilistically. But I'm grateful for that meeting."
Mira spoke longer than usual. "I too. In vast space of possible encounters, meeting you was high-value event. High information, high meaning."
"Information content and meaning."
"They correlate. Rare events teach us more. About world, about ourselves."
Yuki wrote in her notebook. "Probabilistic worldview. But not nihilism."
"No. Probabilistic doesn't mean meaningless. Means we appreciate the realized."
"Cherishing what has been realized."
"Yes. Among infinite unrealized possibilities, we are here. That's beautiful."
The library clock ticked. This moment, probabilistically selected. The two quietly savored the miracle.
"Thank you for being here, in this probability path," Mira said.
"Same to you," Yuki smiled. "Grateful to you I met probabilistically."
Outside, rain began to fall. This rain too, a probabilistic event. But the two being here was also a probabilistic event. From countless possibilities, this reality was selected. It was an occurrence carrying immeasurable information.