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Answer :
First, calculate the area of the rectangle and the area of the circle. Here, the area of the rectangle is the possible outcome and the area of the circle will be the favourable outcome.
So, the area of the rectangle = (3 × 2) m2 = 6 m2
and,
The area of the circle \( = \ \pi r^2 \ = \ \pi ( \frac{1}{2})^2 \ = \ \frac{ \pi}{4} \ = \ 0.78 \)
\(\therefore \) The probability that die will land inside the circle \( = \ \frac{ \frac{ \pi}{4}}{6} \ = \ \frac{\pi}{24} \ = \ 0.13 \)