Q. 113.6( 15 Votes )

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?


Answer :

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


Radius of circle =


Radius of circle = m


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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