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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 \dots 343}{365.365.365 \dots 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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