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LEGEN...waitforit...DARIDDLE: How many people should be in a room so that there is a 99% probability that two or more people share the same birthday? Hint: whoever gets it right with solutions gets a medal

Mathematics
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the dreaded riddles are back!
these ones are legendary. i don't make puny riddles like the original
so @hartnn do you know the answer?

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Other answers:

haven't tried yet...i would always prefer helping than satisfying my own thirst of solving puzzles...i'll try that in free time :)
helping huh. haven't tried that in a while
i try these problems by taking small numbers first let there be just 2 people in that room then the probability "that two or more people share the same birthday" will be 1- probability that BOTH will not have same birthday (assuming 366 days a year) so, \(\large 1- \dfrac{366}{366}\times \dfrac{365}{366}\) now extending this for 'n' people \(\large 0.99 =1- \dfrac{\dfrac{366!}{(366-n)!}}{366^n}\) am i on right path ? (wondering how the hell can i solve that for n :O O.o)
lol. am not saying if you're on the right path or not. just tell me the answer and i'll tell you if it's right. that's how riddles work
rounding to nearest integer i am getting 55 people (infact 55 or more!)
ooooh so close
but no
i had my chance, i'll let others try....

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