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You randomly select a point on a square with corners at (0,0), (0,1), (1,0), (1,1) what...

You randomly select a point on a square with corners at (0,0), (0,1), (1,0), (1,1) what os the probability of selecting a poont withon 0.4 of any corner
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Answer #1

If we try to visualize the problem it will looks like:

So, there are quarter of circles on each corner with radius of 0.4.

Since there are 4 quarters, hence total 1 circle of 0.4 radius.

Area of square = 1*1 = 1

Area of circle =

So, answer is 0.16*pi or 0.5027 (approx)

Please comment if any doubt. Thank you.

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