a. If two people are selected at random, the probability that they do not have the same
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a. If two people are selected at random, the probability that they do not have the same birthday (day and month) is 365/365 . 364/365. Explain why this is so. (Ignore leap years and assume 365 days in a year.)
b. If three people are selected at random, find the probability that they all have different birthdays.
c. If three people are selected at random, find the probability that at least two of them have the same birthday.
d. If 20 people are selected at random, find the probability that at least 2 of them have the same birthday.
e. How large a group is needed to give a 0.5 chance of at least two people having the same birthday?
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