Given n people randomly chosen, find the smallest value of n so that the probability that
at least one of them were born on the same day of the year that you are born is at least 50%.
We will find the probability that none of them have your borthday.
The probability that none of the people have your birthday is:.
. . We want this to be less than 50%.
We have: .
Take logs: .
. . It will take 253 people.