1: I feel that the first question is not rigorous enough (the teacher is lazy again, hehe), and the answers are as follows in two situations:

When two teachers can't sit next to each other: A44 * A32 =144; The probability is144/720;

When two teachers can sit next to each other: A44 * 3 * 4 = 288, the probability is 288/720;

2:A44 * 2 * 3 = 144； The probability is 144/720.

PS: I saw someone's calculation repeated, so I added it. If it is empty, students sit still and the teacher fills it in, which is not easy to make mistakes and easy to understand.