Answer :

The figure is given below:



Let side of bigger square be 2x


Then, AE = x


Area of square = 4 × side


4 × 2x


8x


Area of Δ AHE



The area of yellow region = 4(Area of Δ AHE)



= 2x2


Area of green region = Area of big square – Area of yellow region


8x – 2x2


Probability of dot is putted in the green part






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