posted by roman .
how can you determine the probability that a point radomly selected from the interior of a square surrounded by two semi circles will fall within the square
I would calculate the area of the square and the area of the two semicircles.
then the area of the square divided by the area of the two semicircles will give you that probability
(I find the wording quite strange. Do the two semicircles form a circle? I assume that the square lies entirely within the circle. Is there any over-lap ? )