Ear lobe color is not genetically linked to egg color. Araucanas and Ameraucanas have red earlobes and lay blue eggs. Legbars have white earlobes and lay blue eggs. Penedesncas have white earlobes and lay terra cotta colored eggs. Hollands have red earlobes and lay white eggs.
Generally speaking most of the time a pure bird with white earlobes will lay white eggs and a pure bird with red earlobes will lay brown eggs.
Generally speaking most of the time a pure bird with white earlobes will lay white eggs and a pure bird with red earlobes will lay brown eggs.