# Assume that the year has 366 days and all birthdays are equally likely. a) What is the probability that two people chosen at random were born on the same day of the week? b) What is the probability that in a group of n people chosen at random, there are at least two born on the same day of the week? c) How many people chosen at random are needed to make the probability greater than 1/2 that there are at least two people born on the same day of the week?

###### Question:

Assume that the year has 366 days and all birthdays are equally likely.
a) What is the probability that two people chosen at random were born on the same day of the week?
b) What is the probability that in a group of n people chosen at random, there are at least two born on the same day of the week?
c) How many people chosen at random are needed to make the probability greater than 1/2 that there are at least two people born on the same day of the week?

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