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A missing helicopter is reported to have crashed somewhere in the rectangular region in Fig. 15.2. In the rectangular region there is a lake in one corner and in the remaining corners there are three water bodies each in the shape of a quadrant of a circle of radius 700 m.

(i) The probability that the helicopter crashed inside the lake is
(a) 0.1$\quad$ (b) 0.4$\quad$ c) 0.5$\quad$ (d) 0.8
(ii) What is the chance of helicopter crashing in one of the three water bodies in three corners?
(a) 2%$\quad$ (b) 2.88%$\quad$ c) 4%$\quad$ (d)3.88%
(iii) The probability that the helicopter crashed in the water body near to the lake, is
(a) $\frac{77}{4000}$$\quad$ (b) $\frac{77}{2000}$$\quad$ (c) $\frac{77}{8000}$$\quad$ (d) $\frac{231}{8000}$
(iv) The probability that the helicopter crashed in a water body including lake is
(a) $\frac{231}{8000}$$\quad$ (b) $\frac{1031}{8000}$$\quad$ c)$\frac{931}{8000}$$\quad$ (d)$\frac{1037}{8000}$