If there is a group of n people in a room, what is the probability that two or more of them have the same birthday?

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AVNEESH TIWARI 2014-8-31

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评论： Image Analyst 2022-3-16

If there is a group of n people in a room, what is the probability that two or more of them have the same birthday? It is possible to determine this question by simulation. Write a function that calculates the probability that two or more of n people will have the same birthday, when n is a calling argument.

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Torsten 2022-3-16

So the probability would be greater than 1 ?

Image Analyst 2022-3-16

If X is a date, then is N also a date? So what sense does it make to divide two dates?

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Image Analyst 2014-8-31

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As this is most likely a homework problem (and I've tagged it as such), I'll just give you some hints.

n = 30;
birthdays = randi(365, n, 1)  % Get list of birthdays out of possible 365 days per year.
counts = histc(birthdays, 1:365) % Count how many people have each birthday.

Put the above in a loop and do it, say, a million times to find the probability that max(counts) >= 2. Try different n also.