Radius of circle = 1cm

Length of side of square = 1 + 1 = 2cm

Area of square = 2 × 2 = 4cm^{2}

Area of shaded region = area of square – 4 × area of quadrant

= 4 – 4(1/4)π(1)^{2}

= (4 − π) cm^{2}

Probability that the point will be chosen from the shaded region = (Area of shaded region)/(Area of square ABCD) = (4 - π)/4 = 1 - π/4

Since geometrical probability,

P(E) = (Measure of specified part of region)/(Measure of the whole region)