In a certain urn there are 3 blue, 2red and 5 yellow marbles. Calculate probability that atmost 2 marbles will be red if 3 marbles are drawn without replacement


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Question Number 142489 by jlewis last updated on 01/Jun/21

$In a certain urn there are 3 blue,$ $2 red and 5 yellow marbles .$ $Calculate probability that atmost$ $2 marbles will be red if 3 marbles$ $are drawn without replacement$
Commented by mr W last updated on 01/Jun/21

$a t m o s t 2 r e d m a r b l e s m e a n s :$ $n o r e d m a r b l e o r$ $o n e r e d m a r b l e o r$ $t w o r e d m a r b l e s .$ $t h a t m e a n s a l l p o s s i b i l i t i e s!$ $\Rightarrow p = 1$
Commented by jlewis last updated on 02/Jun/21

$please help, how does that$ $comes to be$
Commented by mr W last updated on 02/Jun/21

$w h e n y o u t a k e t h r e e m a r b l e s f r o m t h e$ $u r n, t h e r e a r e o n l y f o l l o w i n g c a s e s :$ $n o r e d m a r b l e$ $o n e r e d m a r b l e$ $t w o r e d m a r b l e s$ $s o t h e p r o b a b i l t y t h a t a t m o s t t w o$ $r e d m a r b l e s a r e t a k e n i t 100 % .$
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