Question:
suppose you drop a die at random on the rectangular region of length = 3 cm and breadth = 2 cm. what is the probability that it will land inside the diameter of 1 cm?
Answer:
Given, length of the rectangle = 3 cm
and breadth of the rectangle = 2 cm
Area of the rectangle = 3 * 2 = 6 cm2
Again, radius of the circle r = 1/2 cm
Area of the circle = πr2 = π(1/2)2 = π/4
Now, P(die will land inside the circle) = (π/4)/6
= π/(4 * 6)
= π/24
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