Suppose that there are 38 students in your class. Each day the teacher randomly selects one student to show the others how to do the previous night’s homework. Each day, all students are eligible and equally likely to be chosen, even if they have been chosen that week already.
a. On any given day, what is the probability that you are the student selected?
b. What is the probability that you are selected on two consecutive days?
c. What is the probability that the same student is chosen on two consecutive days?
d. Number the students from 1 to 38. Assume you have a random number generator that weights all numbers equally in a range you provide. Explain how you could use simulation to identify the students who are chosen on two consecutive days. (It could be the same student on both days.)
e. Explain how you could use simulation to estimate the probability that the same student is chosen on two consecutive days.