Probability of 2+ Birthdays Matching in a Class of 25

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To determine the probability that at least two students in a class of 25 share the same birthday, calculate the probability that all students have different birthdays and subtract that from 1. For two students, the probability of different birthdays is 1 minus the chance that they share a birthday, which is 1 - (364/365). This approach can be extended to more students by considering the decreasing number of available birthdays as each additional student is added. The concept is rooted in the birthday paradox, which illustrates that shared birthdays are more likely than intuition suggests. Understanding this probability can help clarify the surprising nature of the results in larger groups.
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this is the problem...
there are 25 students in a Data Management Class. Determine the probability that at keast two of them share the same birthday. (Assume that every year has 365 days)
--> i have no clue what technique what to do here... coz this is a thinking question so its kinda hard for me...
 
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Well, the way to do this is to work out the probability of each of them having different birthdays, then subtract that from 1. For starters, if there were only 2 people in the class, what is the probability that they would have different birthdays?
 
is it 1-(364/365)?
 
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