The Birthday Problem This classic problem wonders how many people need to be in a group in order to have a greater
than 50% chance that at least two of them share a birthday. Answer each of the following
questions below to explore this problem.
4. Consider a group of three people instead. What is the probability that none of these
three people share a birthday?
5. Given your answer to #4, what is the probability that at least two of those people DO
share a birthday?
6. Continue calculating the probabilities of no shared birthdays and shared birthdays for
larger and larger groups until you find a size at which the probability of at least two of
them sharing a birthday is at least 50%. How many people are in that group?