MathDB

Consider a rectangle with length

6

and height

4

. A rectangle with length

3

and height

1

is placed inside the larger rectangle such that it is distance

1

from the bottom and leftmost sides of the larger rectangle. We randomly select one point from each side of the larger rectangle, and connect these

4

points to form a quadrilateral. What is the probability that the smaller rectangle is strictly contained within that quadrilateral?

Problem Statement