Question

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Ɲօ sթɑʍ ɑղsաҽɾ íե ɑsɑթ

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Answer 1

$\huge\underline{\overline\mathcal{\red{Y}\orange{o}\pink{u}\green{r} \: \blue{A}\purple{n}\red{s}\green{w}\blue{e}\purple{r}}}:$

$\bf • \: \: First \: calculate \: the \: probability \: of \: C$

$\sf\green{P(C) = 1 - [P(A) + P(B)]} \\ := \sf\pink{1-[ \frac{1}{3} + \frac{1}{4} ]=1- \frac{7}{12} = \frac{5}{12} }$

$\color{lime}{\boxed{\purple{\mathcal{Probability= \frac{ \: Number \: of \: favorable \: outcomes} {Total \: number \: of \: all \: possible\: outcomes}}}}}$

$\mathtt{• \: \: Given \: that \: 40 \: balls \: in \: the \: box \: are \: marked \: C.}$

$\mathcal\orange{:\implies \frac{5}{12} = \frac{40}{Total \: number \: of \: all \: is \: possible \: outcomes }}$

$\mathcal\blue{\underline{:\implies{Total \:number \: of \: all \: possible \: outcomes}}}$

$‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎‎ ‎\large{\color{brown} ‎ :‎\implies \frac{40 \times 12}{5} = 96}$

$\large ∴\mathbf{\underline{\overline{ The \: number \: of \: balls \: in \: the \: box \: is \: 96. }}}$