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pllk avatar pllk commented on July 20, 2024

I think the current form is correct, because the point is that even if there are not many people, the probability that some two people have the same birthday is large. Or could you clarify if I misunderstood your comment?

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darbula avatar darbula commented on July 20, 2024

The point stated in your comment and in the book is correct but phrasing is misleading:

even if there are not many people, the probability that some two people have the same birthday is large

If there are not many people (n is small) then it is obvious that the probability is large, but word 'even' suggests that you want to state something that is not obvious. The fact that indeed is not obvious is that if the n is large then the probability is larger than the probability uninformed reader would have estimated.

UPD: Sorry I swapped what is obvious and what is not :(, I guess knowing about this paradox distorted obviousness :), closing issue.

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