Mathematics
Suppose you drop a die at random on the rectangular region shown. What is the probability that it will land inside the circle with diameter 1 m?

Probability
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Answer
Length of rectangular region = 3 m
Breadth of rectangular region = 2 m
Area of rectangular region = Length × Breadth
= 3 × 2 = 6 m2.
Diameter of circular region = 1 m
Radius of circular region (r) = m
Area of circular region = πr2
= π ×
= m2.
The probability that it will land inside the circle
=
=
= .
Hence, the probability that die will land inside the circle is .
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