Let \( \mathrm{S}=\{1,2,3,4, \ldots \ldots, 10\} \) and \( f(x)=\frac{4(\sqrt{x+1}-\sqrt{3-x})}{... VIDEO
Let \( \mathrm{S}=\{1,2,3,4, \ldots \ldots, 10\} \) and \( f(x)=\frac{4(\sqrt{x+1}-\sqrt{3-x})}{x-1} \)
If an element is selected from the set \( S \) then the probability that it lies in the range of \( f(x) \) is
(a) \( \frac{1}{5} \)
(b) \( \frac{3}{10} \)
(c) \( \frac{2}{5} \)
(d) \( \frac{1}{2} \)
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