A) \[\frac{1}{16}\]
B) \[\frac{3}{16}\]
C) \[\frac{15}{16}\]
D) None of these.
Correct Answer: B
Solution :
[b]; Clearly x should lie in \[\left[ -\frac{\pi }{2},\frac{\pi }{2} \right]\]and y in \[[0,\pi ]\] in order to get the integer value of \[{{\sin }^{-1}}(\sin x)+{{\cos }^{-1}}(\cos y)\]\[\Rightarrow \]\[x=1\]and\[y=1,2,3\] \[\therefore \]Required probability\[=\frac{3}{16}\].
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