what is the probability that at least two from 23 people have birthday at the same day? (an unsolved old question)


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Question Number 182952 by mr W last updated on 17/Dec/22

$w h a t i s t h e p r o b a b i l i t y t h a t a t l e a s t$ $t w o f r o m 23 p e o p l e h a v e b i r t h d a y a t$ $t h e s a m e d a y ?$ $(a n u n s o l v e d o l d q u e s t i o n)$
	Answered by aleks041103 last updated on 17/Dec/22

	$w e w a n t p .$ $1 - p i s t h e p r o b a b i l i t y a l l 23 p e o p l e h a v e d i f f e r e n t$ $b i r t h d a y s .$ $\Rightarrow 1 - p = \frac{365.364.363 . . . 343}{365.365.365 . . . 365} \approx 0.4927$ $\Rightarrow p \approx 50 . 7 %$
	Commented by mr W last updated on 17/Dec/22

	$y e s . t h a n k s s i r!$
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