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

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Sum

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

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Solution

Area of rectangle = l × = 3 × 2 = 6 m2

Area of circle (of diameter 1 m)  = `pir^2= pi((1pi)/2)^2 = pi/4 m^2`

P (die will land inside the circle) = `(pi/4)/6= pi/24`

Concept: Probability - A Theoretical Approach
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APPEARS IN

NCERT Class 10 Maths
Chapter 15 Probability
Exercise 15.1 | Q 20 | Page 310
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