Imagine you have a random sample of k people and want to find the probability that 2 or more have the same birthday. What is intriguing about this problem is that the answer is quite counterintuitive. Calculation Suppose A is the event that 2 or more people in the sample (size k) have the same day of birth. Assume 365 days per year and that all birthdays are equally likely. On paper neatly derive the formula for P(A) as a function of k. Create an R function that will calculate the probability for any k>2, call it ptormore(k) Hint: You may find Ifactorial(), Ichoose() useful