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

Given,

Length of rectangular region = 3m

Breadth of rectangular region = 2m

Area of rectangular region = length× breadth

Area of rectangular region = 3× 2

Area of rectangular region = 6m2

Area of circle = πr2

Area of circle = π

Area of circle = m2

Probability die will lie inside circle –

P(die will lie inside circle) =

P(die will lie inside circle) =

P(die will lie inside circle) =

P(die will lie inside circle) = ( π =

P(die will lie inside circle) =

P(die will lie inside circle) =

Probability die will lie inside circle is .

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