Pull Out Of The Hat Meaning

(idiomatic) To select at random, or seemingly at random.

Example: 2011 January 29, Chris Bevan, “Torquay 0 - 1 Crawley Town”[1], BBC:
  Having spent more than £500,000 on players last summer, Crawley can hardly be classed as minnows but they have still punched way above their weight and this kind of performance means no-one will relish pulling them out of the hat in Sunday's draw.