If there are 85 students in a statistics class and we assume that there are 365 days in a year, what is the probability that at least two students in the class have the same birthday (assuming birthdays are distributed independently)?  Choose the correct choice from the following answers:	A) 85/365∗84/364	B) 13/65∗13/64	C) 1 - 85!/365!	D) 1 - {365!}/{280!(365^8^5)}	E) 1 - 85!/(365^8^5)
Probability(At Least 2 share a bday) = 1 - Probability(All 85 have distinct birthdays)   total ways to pick 85 birthdays = 365^85   Ways to pick distinct 85 out of the 365 &amp; distribute it to 85 people = C(365,85)*85!   Hence Probability = 1−365!/280!36585   ANswer is 1 - {365!}/{280!(365^8^5)}
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If there are 85 students in a statistics class and we assume that there are 365 days in a year, what is the probability that at least two students in the class have the same birthday (assuming birthdays are distributed independently)?