Find the probability that of 25 students, no two have the same birthday

Assuming no student was born on Leap Day, and that birthdays are as likely to occur on one day as any other, each student has probability of being born on a particular day. So if one student's birthday was, say, 1 January, the probability that another student was born on 2 January is .

The probability, then, of having the next student born on 3 Januaray is .

Continuing in this fashion, for 25 students you would find that no two share a birthday with probability

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