Given a unit square, two points are chosen uniformly at random within the square. Compute
the probability that the line segment connecting those two points touches both diagonals of the
square.
Options.
A) 1/4
B) 2/4
C) 3/4
D) 4/4
E) 5/4
If we draw both diagonals, then the desired event happens if and only if the two   points appear in dierent triangles that do not share an edge. Given the triangle where one   point lands, the other point has probability   1/4   of landing in the other triangle.   correct answer 1/4
<result>A</result>
Given a unit square, two points are chosen uniformly at random within the square. Compute
the probability that the line segment connecting those two points touches both diagonals of the
square.