Please answer the Q9.

Dear Student,
Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Lets} \mathrm{say} \mathrm{total} \mathrm{No}. \mathrm{of} \mathrm{eggs}= 100. \\ \mathrm{Blue} \mathrm{egg}\left(40\%\right)=40 \\ \mathrm{Red} \mathrm{eggs} \left(60\%\right)=60 \\ 20\% \mathrm{red} \mathrm{are} \mathrm{empty} \mathrm{so} 12 \mathrm{is} \mathrm{empty} \mathrm{and} 48 \mathrm{contain} \mathrm{pearl}. \\ \frac{5}{13} \mathrm{egg} \mathrm{containg} \mathrm{pearl} \mathrm{is} \mathrm{painted} \mathrm{blue} \mathrm{so} 8/13 \mathrm{would} \mathrm{be} \mathrm{red}. \\ \Rightarrow \frac{8\mathrm{x}}{13}=48 \\ \Rightarrow \mathrm{x}=78 \\ \mathrm{Blue} \mathrm{containg} \mathrm{pearl}=\frac{5\mathrm{x}}{13}=30 \\ \mathrm{Total} \mathrm{egg} \mathrm{painted} 100, \mathrm{egg} \mathrm{containing} \mathrm{pearl}=78 \end{gathered}$$



$\mathrm{Required} \mathrm{probability}=\frac{30}{30+10}=\frac{3}{4} \left[\mathrm{Answer}\right]$

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