A) \[\frac{3}{4}\]
B) \[\frac{1}{2}\]
C) \[\frac{1}{4}\]
D) None of these
Correct Answer: C
Solution :
[c] \[n(S)=\] the area of the circle of radius r \[n(E)=\] the area of the circle of radius \[\frac{r}{2}\] \[\therefore \] The probability \[=\frac{n(E)}{n(S)}=\frac{\pi {{\left( \frac{r}{2} \right)}^{2}}}{\pi {{r}^{2}}}=\frac{1}{4}.\]
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