apportion vs hand out

apportion

verb
  • To divide and distribute portions of a whole. 

  • Specifically, to do so in a fair and equitable manner; to allocate proportionally. 

hand out

verb
  • To distribute; to give out. 

  • To help (someone) from a vehicle. 

phrase
  • a player is out 

How often have the words apportion and hand out occurred in a corpus of books? (source: Google Ngram Viewer )