Here is the plain English of #header .callout: Select all elements with the class name callout that are decendents of the element with an ID of header. Here is the plain English of #header.callout: Select the element which has an ID of header and also a class name of callout. Maybe this graphic will make that more clear:
Wilmington, Ohio. Wilmington is a city in and the county seat of Clinton County, Ohio, United States. The population was 12,520 at the 2010 census.
The city is served by the Wilmington Public Library of Clinton County, and also features a weather forecast office of the National Weather Service, which serves all of Southwestern Ohio and portions of Kentucky and Indiana.