# Doubt from probability

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Ans is d?

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Can you send your approach.?

I don't know , a friend of mine asked me . @akash_2020 can you send your approach please , i don't know ans either

the probability is the area of yellow region when the side length of square is one

so convert the system into coordinates with B as origin

so the equation of BG is y = x and AG is y = 1-x

and equation of parabola is (y-\frac{1}{2})^2 =x - \frac{1}{2}

which now can be easily solved

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Hint: It will be the area common to the interior of parabolas formed with centre as focus and the sides of the square as directrix

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