Before the Exam

February 5th, Thursday, third period in the morning—Math Class.

Gao Heshaui's booming voice rang out. "Let's look at the final problem. The mathematics department of a certain university plans to hold two psychological testing events with different themes on Saturday and Sunday, organized by Teacher Li and Teacher Zhang respectively. The department has a total of n students..."

"(I) Find the probability that student A receives an event notification from Teacher Li or Teacher Zhang. (II) Find the integer m that maximizes P(X=m)."

After reading the problem, Gao Heshaui paused and used induction to lay out the process and answer for the first part.

When it came to the second part, he hurriedly read through the answer, then tossed aside the chalk.

He announced casually, "All right, we're done with this test paper."

The students were completely bewildered. Yu Wen raised her hand. "Teacher Gao, you explained every problem before. Why did you suddenly stop explaining this one?"

Gao Heshaui glanced at Yu Wen. "This was the final question on the 2013 provincial science math exam. Even if I explained it, you wouldn't understand."

Yu Wen choked. "Surely someone can understand it, right?"

Gao Heshaui looked at Xue Yuantong, Jiang Ning, and Chen Qian. "The people who can understand it don't need me to explain it."

"I sincerely advise everyone: if you encounter a problem on the college entrance exam that you can't understand, don't waste time looking at it. Go solve the other problems and secure the points you can get. Don't aim too high!"

After lecturing them for a bit, Gao Heshaui carried his tea cup out of the Class 8 classroom.

Yu Wen complained from her seat, "That's too much! Fat Gao has no sense of responsibility at all! Yanan, don't you agree?"

Jiang Yanan thought Teacher