In your classroom there are 45 students, assume that none of them is born on february 29, and hence consider only common years (365 days) (do not consider leap years). 1- take a student randomly from the class, what is the probability that he have the same birthday as yours? 2- what is the probability that there is at least one student in the class having the same birthday as yours? 3-what is the probability that there is no repeated birthday date in the class all the 45 birthdays being different)? comment on the value you found 4- the instructor decides to nominate 5 students randomly to deliver a presentation next class, • how many groups of five students) are possible? • what is the probability that you are among the selected students?