Problem#5: The Birthday Problem (10pts) In your classroom thereare 45 students, assume that none of them is born on February 29,and hence consider only common years (365 days) [do not considerleap years]. 1- Take a student randomly from the class, what is theprobability that he have the same birthday as yours? 2- What is theprobability that there is at least one student in the class havingthe same birthday as yours? 3-What is the probability that there isno repeated birthday date in the class (all the 45 birthdays beingdifferent)? Comment on the value you found 4- The instructordecides to nominate 5 students randomly to deliver a presentationnext class, • How many groups (of five students) are possible? •What is the probability that you are among the selectedstudents?
