luck vs run up against

luck

verb
  • To find something through good fortune; used with into, on, onto or upon. 

noun
  • The results of a random number generator. 

  • A superstitious feeling that brings fortune or success. 

  • Success. 

  • Something that happens to someone by chance, a chance occurrence, especially a favourable one. 

run up against

verb
  • To begin to encounter problems with (someone or something). 

How often have the words luck and run up against occurred in a corpus of books? (source: Google Ngram Viewer )