$\begin{array}{1 1}(A)\;\large\frac{48}{143}\\(B)\;\large\frac{28}{143}\\(C)\;\large\frac{18}{143}\\(D)\;\large\frac{5}{143}\end{array} $

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Step 1:

Given a bag contains 8 red and 5 white balls

$\therefore$ the sample space is $S=13(8+5)$

Step 2:

All three balls are white

Considering that once the ball is drawn it is not replaced

$P\Rightarrow \large\frac{5}{13}\times \frac{4}{12}\times \frac{3}{11}$

$\Rightarrow \large\frac{5}{143}$

Hence (D) is the correct answer.

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