At a dog park, there are four dogs playing fetch with their owners. The dogs are named Daisy, Rex, Luna, and Max. Their respective owners, unaware of the other dogs' names, call out commands using colored balls: red for Daisy, blue for Rex, green for Luna, and yellow for Max. Suddenly, all four balls are thrown at once, causing confusion among the dogs. How can the owners figure out which dog responded to which ball color without knowing the other dogs' names?
Provide a brief response.
The owners can observe the behavior of the dogs after the balls are thrown. Since each owner only knows the command associated with their dog, they can call out the color they used as they throw the ball. For example, Daisy's owner can shout "Red!", Rex's owner will call "Blue!", Luna's owner - "Green!", and Max's owner - "Yellow!" When the dogs respond to the command by following or fetching the ball matching with the command they are trained to respond to, the owner will see which dog reacted to their specific command.

As an example, when the owner who threw the red ball calls out "Red!" and a specific dog responds to that color, the owner can deduce that this dog must be Daisy, as that is the command Daisy was trained to respond to. The same process applies for the other dogs and their owners. Through this method of elimination, each owner can determine which dog responded to their own command based on the color of the ball and thereby work out the association of each dog with its respective ball color.