#### 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* × *b *= 3 × 2 = 6 m^{2}

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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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.