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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? - CBSE Class 10 - Mathematics

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Question

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?

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`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 15: Probability
Ex. 15.10 | Q: 20 | Page no. 310
Solution 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? Concept: Probability - A Theoretical Approach.
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