John is preparing for a presentation in math class. each day 2 of 8 students will present. john is not ready the first day and does not want to present. the teacher is going to randomly draw students names out of a hat to present. would it be better for john if the teacher does or does not replace the names? explain your answer. a) it would be better for john if the teacher replaced the name each time. since replacing the name causes the events to be dependent, the probability that he would get chosen is less. b) it would be better for john if the teacher replaced the name each time. since replacing the name causes the events to be independent, the probability that he would get chosen is less. c) it would be better for john if the teacher replaced the name each time. since replacing the name causes the events to be independent, the probability that he would get chosen is more. d) it would be better for john if the teacher did not replace the name each time. since not replacing the name causes the events to be dependent, the probability that he would get chosen is less.