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Question Number 210392 by peter frank last updated on 08/Aug/24

Commented by mr W last updated on 09/Aug/24

$i n (b) i t i s \frac{1}{7}, n o t \frac{1}{4} .$
	Answered by mr W last updated on 08/Aug/24

	Commented by mr W last updated on 09/Aug/24

	$(1)$ $p = \frac{2}{6} \times \frac{1}{5} = \frac{1}{15}$ $(2)$ $n = n u m b e r o f b l a c k m a r b l e s i n j a r$ $p = \frac{n}{n + 4} \times \frac{n - 1}{n + 3} = \frac{1}{7}$ $3 n^{2} - 7 n - 6 = 0 \Rightarrow n = 3$ $\Rightarrow o n e b l a c k m a r b l e m u s t b e a d d e d t o$ $t h e j a r .$ $(3)$ $n = n u m b e r o f b l u e m a r b l e s i n j a r$ $p = \frac{2}{n + 3} \times \frac{1}{n + 2} = \frac{1}{3}$ $n^{2} + 5 n = 0 \Rightarrow n = 0$ $\Rightarrow a l l 3 b l u e m a r b l e s m u s t b e r e m o v e d$ $f r o m t h e j a r .$
	Commented by peter frank last updated on 09/Aug/24

	$thank you$
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