The restriction enzyme Scs1 cut at a restriction site which is found only very seldom in dog genomes. One dog, Jimmy, has two restriction sites for this restriction enzyme in his genome. The other dog, Billy, has three restriction sites for this enzyme in his genome. For this problem suppose there is just one chromosome in dogs.

One of these dogs ate some of a birthday cake. Digestion and electrophoresis of DNA found at the scene of the crime with the restriction enzyme Scs1 revealed a banding pattern included of four bands. Which dog was most probable not responsible for eating the cake? describe why?