A) \[\frac{1}{8}\]
B) \[\frac{3}{8}\]
C) \[\frac{7}{8}\]
D) \[\frac{1}{4}\]
Correct Answer: C
Solution :
Area of big circle \[=S=\pi {{r}^{2}}\] Area of shaded circle, \[A=\pi {{\left( \frac{1}{3}r \right)}^{2}}=\frac{\pi {{r}^{2}}}{9}\] \[\therefore \]\[P(A)=\frac{n(A)}{n(S)}=\frac{\frac{\pi }{9}{{r}^{2}}}{\pi {{r}^{2}}}=\frac{1}{9}\]
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