A floor consists of parallel planks which have a two foot width. A circular disc of diameter one foot is randomly and uniformly dropped onto the...

A floor consists of parallel planks which have a two foot width. A circular disc ofdiameter one foot is randomly and uniformly dropped onto the planks. Determine theprobability that the disc does not touch the line between two planks. Determine alsothe expected distance from the center of the disc to the closest line between two planks.

Let us say that the Red lines represent the planks, and the grey lines the middle line of the planks. The Disc will not touch the edge if it falls on the orange part of the green line, and its easy...