a) What is the probability that two people chosen at random were born during the same month

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a) What is the probability that two people chosen at random were born during the same month of the year?
b) What is the probability that in a group of n people chosen at random, there are at least two born in the same month of the year?
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 in the same month of the year?
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