Question

Suppose you drop a die at random on the rectangular region shown in Figure. What is the probability that it will land inside the circle with diameter 1m?
Length-4m
Breadth-2m
Diameter-1m

Answer 1

Answer:

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

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Here we use area to find probability.

Now,

Diameter of circle=1m

Radius of circle=½m

So,

Area of rectangle=Length×Breadth

Area of rectangle=3×2=6m²

And,

Area of circle=>πr²

=>π(½)²

=>π×¼m²

Now,

P(die will land inside circle)

⇒Area of circle/Total area

⇒π×¼/6

⇒π/6×4

⇒π/24

So,the probability is π/24.

✬Note:Please always provide diagram for best answers✬