確率８：n数の積と倍数の確率②《千葉大2012年》

Homepage: http://mathematics-monster.jp All course questions can be viewed and printed from the homepage. If my wife or children die while they are still young, after I die, I would like to write a little about my high school days so that they can learn about my life in some detail. When I was in my second year of high school, I once asked my homeroom teacher, Mr. Baba, in the staff room, "What is the purpose of life?" Mr. Baba replied with a laugh, "Isn't it to find that reason?" When I was in my second year of high school, I would take a bus from my house to the nearest station, and then take a train from there to school, which took about an hour and a half. However, I would leave home around 10 a.m., take the bus to the station, buy a bento box at a convenience store, eat it on a bench in a large park with a lake near the station, lie down on the bench and sleep for about an hour, and then it would be past noon when I received a text message from Mr. Baba on my cell phone asking, "What's up today?" It wasn't that I wanted to ignore him, but I didn't know how to respond, so I mostly didn't reply. Eventually, even when I skipped school without permission, Mr. Baba stopped sending me emails. I think I cried about five times a day during my second and third years of high school. Tears would flow everywhere—in the classroom, on the bus, in the nurse's office. Even when I attended classes, I couldn't sit still and would suddenly leave the classroom. Most of the time I went to the nurse's office, but sometimes I would go outside the school building or to the library. I often spent hours in the nurse's office after school, sitting in the chair there until 6 or 7 pm. Sometimes, during lunchtime, friends from the soccer club would come to the nurse's office, and five or six of us would play a game of bouncing a soccer ball in front of the club building outside the nurse's office at the edge of the school. I think everyone probably perceived me as having both bright and dark states. They seemed to think that they shouldn't talk about it, but that it was okay to treat me normally when I was in my bright state. There was certainly a sense of relief in that. Perhaps that's why I didn't run away from various things. I think I was always thinking about something, confronting something, and searching for something. The cat drawing that's the channel's icon is something I drew in the school nurse's office when I was in my third year of high school. My homeroom teacher in my third year of high school was Mr. Kono. He was a young teacher, around 30 years old, and very passionate. I remember being grabbed by the collar and dragged out of the school building for not keeping a promise. I also remember running around the school building with him after school. I think I only attended homeroom a handful of times. I remember throwing my bag from the third floor of the school building and going home, only to find it bent over on my desk the next day. I remember him singing Moriyama Naotaro's "Sakura" on graduation day. Everyone in the class except me was crying. Mr. Kono was also the one who gave me the textbook called "Calculus Mathematics." I remember the guys from the soccer club saying, "Mr. Kono was furious when he returned the tests, saying, 'Why did Sugitani, who never even attended class, get the highest math score?'" I wasn't in the classroom when the tests were returned. At the time, I was furious when Mr. Kono told me, "You're too late to get in on your first try, so you should take a gap year and aim for the University of Tokyo," and I remember studying incredibly hard to prove him wrong. I think I must have been an incredibly stressful student for Mr. Kono. However, I am grateful to Ms. Inada (the nurse), Mr. Baba (my second-year homeroom teacher), and Mr. Kono (my third-year homeroom teacher). After graduation, when I visited Mr. Kono, he said, "Classes like your 3rd year, class 3 were like something out of a school drama. The classes I'm teaching now are boring because everyone only thinks about studying." Most people reading this will probably think, "What kind of high school life was that?" And probably their own children will think the same when they read this a little older. But I think it was an important time for me to confront life.