Coded in either C#,C++ typed. Q1: answer: 20.7% Q2: 88 people

This is a matching birthday problem. Question 1.(15 pts) What is the probability that in room of 60 people a group of at least three people share a birthday? Question 2(15 pts) What is the smallest number of people in the room such that the probability of having a group of at least three people who share birthday is larger than 50%? The answers have to be clearly explained. You could check internet but do not just copy the formula you would find there. Most of the solutions on internet are only estimates not correct formulas. For just putting the formula you will receive no points