Question: Problem 4. (Birthday problem) Find the probability that in a group of n people at least two have their birthdays on the same day (the

Problem 4. (Birthday problem) Find the probability that in a group of n people at least two have their birthdays on the same day (the year of birth may be different). Assume that there are 365 days in the year and each is equally probable for a birthday. What is the minimal 77. such that this probability is 50%? 99%? (This problem is often called Birthday paradox because n turns out to be quite small.)

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