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# A Circle with Diameter 20 Cm is Drawn Somewhere on a Rectangular Piece of Paper with Length 40 Cm and Width 30 Cm. this Paper is Kept Horizontal on Table Top and a Die, Very Small in Size, - ICSE Class 10 - Mathematics

ConceptProbability - A Theoretical Approach

#### Question

A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on table top and a die, very small in size, is dropped on the rectangular paper without seeing towards it. If the die falls and lands on paper only, find the probability that it will fall and land:

outside the circle

#### Solution

Diameter of the circle= 20

Area of circle= pir^2=22/7xx10xx=2200/7 "cm"^2

Length of paper =40 cm

Width of paper = 30 cm

Area of paper = 12000"cm"^2

Total possible outccomes = area of rectangular paper

P(outside the circle) = 1 - P(inside the circle)

=1-11/42

=31/42

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Solution A Circle with Diameter 20 Cm is Drawn Somewhere on a Rectangular Piece of Paper with Length 40 Cm and Width 30 Cm. this Paper is Kept Horizontal on Table Top and a Die, Very Small in Size, Concept: Probability - A Theoretical Approach.
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