Question

what does chance mean in the corect meanining of random "The Teacher made a random choice of students to work on the project

Answer 1

In that sentence, "chance" (or "random") means the selection was made without a deliberate pattern or preference — it was unpredictable and not based on who the students are (ability, behavior, etc.). For example, the teacher might have drawn names from a hat, used a random number generator, or flipped a coin.

Short rephrasing: "The teacher selected students at random to work on the project."

Note: in strict probability terms "random" often implies each student had an equal (or specified) probability of being chosen, but in everyday use it mainly means "not chosen for a particular reason."